Question

Which are steps in the process of completing the square used to solve the equation 3 – 4x = 5x2 – 14x? Check all that apply.

3 = 5(x2 + 2x)
3 = 5x2 – 10x
4 = 5(x2 – 2x + 1)
8 = 5(x2 – 2x + 1)
3 = 5(x – 1)2
4 = 5(x – 1)2
StartFraction 8 Over 5 EndFraction = (x – 1)2

Answer 1

3 - 4x = 5x2 - 14x

= 3 - 5x2 = - 14x + 4x

= 3 - 10 = 10x

= 7 = 10x

= x = 7/10

= x = 0.7

Explanation:

Answer 2

1. 3 = 5x2 – 10x

2. 8 = 5(x2 – 2x + 1)

3. StartFraction 8 Over 5 EndFraction = (x – 1)2

Explanation:

3-4x=5x^2-14x

3=5x^2-14x+4x

3=5x^2-10x

5x^2-10x-3=0

1. 3 = 5x2 – 10x

2. 8 = 5(x2 – 2x + 1)

8=5x^2-10x+5

8-5=5x^2-10x

3=5x^2-10x

3. StartFraction 8 Over 5 EndFraction = (x – 1)2

8/5=x^2-2x+1

Cross product

8=5(x^2-2x+1)

8=5x^2-10x+5

8-5=5x^2-10x

3=5x^2-10x