Question

Complete the square to transform the quadratic equation into the form (x – p)2 = q. X2 - 8x - 10 = 18 A) (x - 8)2 = 14 B) (x - 4)2 = 44 C) (x - 8)2 = -14 D) (x - 4)2 = -44

Answer 1

Answer:

Option B. $(x-4)^{2}=44$

Step-by-step explanation:

we have

$x^{2}-8x-10=18$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}-8x=18+10$

$x^{2}-8x=28$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2}-8x+16=28+16$

$x^{2}-8x+16=44$

Rewrite as perfect squares

$(x-4)^{2}=44$

Answer 2

Answer:

b

Step-by-step explanation: