Answer:
hello : x = - 4 or x = - 8
Step-by-step explanation:
x²+12x+32=0
(x² +2(6)(x) +6²) - 6² +32 = 0....by completing the square
(x + 6 )²- 2² = 0
(x+6-2)(x+6+2)=0 by idetity : a² - b² = (a - b ) ( a + b )
(x+4)(x+8) =0
x+4=0 or x+8= 0
x = - 4 or x = - 8
Answer:
x = - 8, x = - 4
Step-by-step explanation:
Given
x² + 12x + 32 = 0 ( subtract 32 from both sides )
x² + 12x = - 32
To complete the square
add (half the coefficient of the x- term)² to both sides
x² + 2(6)x + 6² = - 32 + 6²
(x + 6)² = - 32 + 36 = 4
Take the square root of both sides
x + 6 = ± 2 ( subtract 6 from both sides )
x = - 6 ± 2
Hence
x = - 6 - 2 = - 8
x = - 6 + 2 = - 4
