When solving this equation by completing the square,

Question

x2 - 4x - 32 = 0 Answer (x - 4)2 = 36 (x - 2)2 = 36 (x - 8)2 = 4

 

 

Answer 1

 x² - 4x -32=0

This expression it can be written as

(x)² - 2(x)(2) +2² - 2² -32=0

Mathematics formulas: (a - b)² = a² - 2ab + b²

(x - 2)²+ (-32 - 4)=0

(x - 2)²-36=0

(x - 2)² = 36

x - 2=+ or - 6

x=8 or -4

Answer 2

The equation

Separate variables and constants aside by adding 32 to each side.

To change the expression into a perfect square trinomial add (half the x coefficient)² to each side of the expression

 Here x coefficient = -4. so, (half the x coefficient)² = (-4/2)²= 4

Add 4 to each side

Take square root both sides.

Solution

.