Mathematics High School

Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x²+x-1=0

Answers

Answer 1

Answer:

x=1/2 or x=−1

Step-by-step explanation:

Question 3 Of 10Use The Quadratic Formula To Find Both Solutions To The Quadratic Equationgiven Below.2x+x-1=0
Answer 2

The solution to the quadratic equation is x = -1 or 1/2

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

2x² + x - 1 = 0   be equation (1)

And , roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

On simplifying , we get

x = [ -1 ± √ ( 1 )² - ( 4 ) ( 2 ) ( -1 ) ] / 4

x =  [ -1 ± √ ( 1 + 8 ) ] / 4

x = [ -1 ± 3 ] / 4

So , the two values of x are

x = ( -1 - 3 ) / 4

x = -1

And , x = ( -1 + 3 ) / 4

x = 1/2

Therefore , the values of x are -1 or 1/2 respectively

Hence , the roots of the quadratic equation are -1 or 1/2 respectively

To learn more about quadratic equations click :

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Related Questions

please help me out! I need help asap

Answers

Answer:

That's a lot also can i get brainliest please

Step-by-step explanation:

1: 16.50

2: 45.00

3: 30

4: half or 1.5

5: 60

6: 20

7: 315

Please help I got to get this done to move on in math (my teacher wont unlock anything till i get this done i have till tomorrow)

Answers

Step-by-step explanation:

please see it my steps to work this problem

Answer:  10x - 1

==============================================

Explanation:

The multiplicative inverse of x is 1/x, and vice versa. This is true as long as x is not 0.

The multiplicative inverse of 1/5 is 5. These two values multiply to 1. This is true of any multiplicative inverse pairing.

----------

What we need to do is multiply 5 with (2x-1/5)

Use the distributive property to get the following

5*(2x-1/5)

5*(2x) - 5*(1/5)

10x - 5/5

10x - 1

I multiplied the outer 5 by each term inside (the 2x and 1/5) and simplified.

what is the quotient 5/7 ÷ 3 1/3​

Answers

Answer: 3/14

Step-by-step explanation:

There are 5 1/4 yards of silk in a roll. If it takes 3/4 of a yard to make one designer scarf, how many scarves can be made from the roll?​

Answers

so you do 5 1/4 minus 3/4 and then you get your awnser

Question 4 (10 points)
Which sentence is written in third-person point of view? (10 points)
a
Once a small crowd of protesters, we were now an angry mob.
b
Our small crowd of protesters was now an angry mob.
c
The small crowd of protesters had turned into an angry mob.
d
Your small crowd of protesters has now become an angry mob.

Answers

Answer:

C, "The small crowd of protesters had turned into an angry mob".

Step-by-step explanation:

A and B are 1st person point of view because of "we" and "our". D is 2nd person point of view because of "your".

Answer:

c. The small crowd of protesters had turned into an angry mob.

Point of view is a way the voice sounds.

1st person uses: I, we, she, he, her, my. (it sounds like you are in their head.)

2nd person uses: you, your. (it sounds like the narrator is talking directly to you.)

3rd person uses: they, them he, her. (it sounds like someone is watching the story happening and is telling it from an outside point of view.

1st: My friends and I can't wait until Christmas.

2nd: You and your friends can't wait until Christmas.

3rd: Macy and her friends can't wait until Christmas.

2. Consider the problem: Tyler painted square yards of wall area with 3 gallons of paint. How many gallons of paint does it take to paint each square yard of wall? a. Write multiplication and division equations to represent the situation, Draw a diagram to represent the answer of the question.​

Answers

Answer:

I will try my best. Don't really know if this is correct.

Step-by-step explanation:

Well, first, you will have to get a mixed number, 9/2. And then divide 9/2 to 3/1. ( 9/2 divided by 3/1 = ? ) Then, multiply the equation. ( ? x 3 = 9/2 )

Last, draw a diagram to represent the answer.

9/2 = ? ? ? (Pretend that is a diagram) ? = 3/2 gallon

You will have to simplify the answer to get 3/2 gallon.

Look, I tried my best trying to explain everything, this question is very confusing and hard to do.

Please helppppp i need help

Answers

Answer:

hekp

Step-by-step explanation:

Answer: 6896.8

Step-by-step explanation: multiply the number by 100 first, then multiply that number by 16!

0.075,0.75%, 3/4.. Which of the following correctly orders the values above from least to greatest

Answers

Answer:

0.075,3/4,0.75

Step-by-step explanation:

Answer:

0.75%, 0.075%, 3/4

Step-by-step explanation:

Took the test and this is the correct answer

Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75° with the ground

Answers

what does the question ask?

Answer: 77.27

Step-by-step explanation: I did the test and I got it right.

Jalen bought 24 juice packs for $7.20 . Tia bought 6 juice packs for $2.70 . Which statement describes the difference in the unit prices in jalen’s and tia’s juice packs

Answers

Answer:

Jalen's purchase unit rate: 0.3

Tia's purchase unit rate: 0.45

0.45 - 0.3 =

Step-by-step explanation:

The Answer is 0.15, well I hope that’s right . GoodLuck

The coordinates G(7, 3), H(9, 0), I(5, -1) form what type of polygon?

an obtuse triangle
an acute triangle
an equilateral triangle
a right triangle

Answers

Answer:

C is the answer

Step-by-step explanation:

Answer:

an equilateral triangle

Step-by-step explanation:

how are the triangles congruent ?

ASA , SSA , AAS , SAS , or Not enough information

Answers

Answer:

AAS

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

1. (A) we know angle A is congruent to angle E

2. (A) angle B is congruent to D

3. (S) line BC is congruent to line DC

PLEASE HELP, IM GIVING BRAINLIEST AND POINTS

Answers

Answer:

waht is it

Step-by-step explanation:

Answer:

Step-by-step explanation:

Help with what?

Is there supposed to be a picture?

●﹏●

write in simplest from 4x1/8

Answers

Answer: 0.5

Step-by-step explanation:

4x1/8 is 1/2

1/2= 0.5

Is the function shown linear or nonlinear? Explain.

A. The function is linear becouse all values of x and y are positive.
B. The function is nonlinear becouse there are no negative values of x or y.
C. The function is nonlinear becouse the slope is not constant.​

Answers

Answer:

b

Step-by-step explanation:

linear is a straight line and non linear is something that isnt a straight line

6h+9 is greater than 51​

Answers

Answer:

h > 7

Step-by-step explanation:

6h + 9 > 51

    -9       -9

6h > 42

/6      /6

h > 7

Hope this helps!

can some one help with this ​

Answers

Answer:

156 masks

Step-by-step explanation:

The art club had an election to select a president. 40% of the 85 members of the club voted in the election. How many members voted?

Answers

Answer:

34

Step-by-step explanation:

Last week Andrew was paid $150 for 10 hours of work. How much money does Andrew earn per hour?

Answers

Answer:

15 dollars a hour

Step-by-step explanation:

150 an hour

150/10

15 dollars an hour

Answer:

15

Step-by-step explanation: if not right sorry

45/4x+1=5, help please

Answers

Answer

x= 16/45 (as a fraction)

Step-by-step explanation:

Ricardo open a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals . The account earns 1% simple interest. What is the total amount that Ricardo will have in his account at the end of 3 years ?
A:$168.00
B:$56.00
C:$576.80
D:$565.60

Answers

Answer:

C

Step-by-step explanation:

Write an equation of the direct variation (the line has a y-intercept of (0,0)) that includes the point (3,18).
Desmos Graphing Calculator
Algebra I STAAR Formula Chart
Calculator
Y=12
y = -6x
y 63

Answers

Answer:

b

Step-by-step explanation:

4 3/7 - 2 5/14 Can someone Please Please help me??

Answers

Answer:

29 over 14

Step-by-step explanation:

what is the y-value for the maximum/minimum of the function defined by the equation? f(x)=-x^2+32x-49

Answers

Answer:

Minimum Maximum Value is (16,207)

Max is 207

Min is 16

write .55 as a percent :(

Answers

Answer:

the answer is 55%, I hope this helps you :)

helppppppppppppppppppppppppp

Answers

Answer: C!!!

Step-by-step explanation:

1. Divide 1,875 by 125 and you get 15.

2. Do the same with 5,625 and you get 375.

3. Multiply 420 by 15 and you get 6,300.

Can you pls mark brainliest!!!! :)))

anyone help please will give brainliest ​

Answers

Answer:

7. y= f(x+2)-7

8. y= -f(x-5)

9. y= f(-x)+3

Step-by-step explanation:

what is the sample space for the suits of a standard 52-card deck of cards?​

Answers

Answer:

lo siento tanto pero necesito los puntos:(

Step-by-step explanation:

I NEED HELP PLEASEEE AND QUICK PLEASEEEEE

Answers

i believe it’s c! :))))

how to find the value of a+b+c given that a=4,b=3 and c= -2

Answers

Answer: 5

Step-by-step explanation: 4 + 3 + -2 = 5

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