Question

Mariya is solving the quadratic equation by completing the square.

4x2 – 20x + 3 = 0

4x2 – 20x = –3

A(x2 – 5x) = –3

What is the value of A?

Answer 1

The value of A is 4

4x2 – 20x + 3 = 0
-3 -3

4x2 - 20 x = - 3

Pull out common factor which is 4

4 ( x2 - 5x) = - 3

Answer 2

The value of A is 4.

Explanation:

Consider the provided quadratic equation.

`4x^2-20x+3=0`

Subtract 3 from both sides.

`4x^2-20x+3-3=-3`

`4x^2-20x=-3`

Now take 4 common from the left side of the above equation.

`4(x^2-5x)=-3`

Compare the above equation with
`A(x^2 - 5x) = -3`

By the comparison it is clear the value of A is 4.

Hence, the value of A is 4.