Question

What are the solutions of the quadratic equation 0 = 4(x - 3)2 - 16?

2 and -2.5

2 and 2.5

1 and -5

1 and 5

Answer 1

Answer:

x=1, 5

Step-by-step explanation:

0 = 4(x - 3)^2 - 16

Add 16 to each side

0+16 = 4(x - 3)^2 - 16+16

16  = 4(x - 3)^2

Divide each side by 4

16/4 = (x-3)^2

4 =  (x-3)^2

Take the square root of each side

±sqrt(4) = sqrt( (x-3)^2)

±2 =  (x-3)

Add 3 to each side

3±2 =  x-3+3

3+2 =x   so x=5

3-2 =x   so x=1

Answer 2

Answer:

d

Step-by-step explanation: