Question

Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply. 4x^2-x-5=0

Answer 1

Question:

Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply. 4x^2-x-5=0.

A.1

B. 3/2

C -4/5

D 5/4

E 2/3

F -1

Answer:

The correct options are D. 5/4 and F -1

Step-by-step explanation:

As we have given an equation in the question

`4x^2-x-5=0`

Now we will solve this question with factor method as

`4x^2-x-5=0`

Now we can write -x as 4x-5x in the given equation

`4x^2+4x-5x-5=0`

Now we take terms common from first two terms and last two terms

`4x(x+1)-5(x+1)=0`

`(4x-5)(x+1)=0`

Now the above equation will be equal to zero if x= -1 or x=5/4

So the correct options are D. And F.