Question

Solve for x in the equation below:

x² +16x=36
A
B
C
D
12, 3
-12,3
18-2
-18,2​

Answer 1

x = 2 or x = -18

Explanation:

Solve for x:

x^2 + 16 x = 36

Add 64 to both sides:

x^2 + 16 x + 64 = 100

Write the left hand side as a square:

(x + 8)^2 = 100

Take the square root of both sides:

x + 8 = 10 or x + 8 = -10

Subtract 8 from both sides:

x = 2 or x + 8 = -10

Subtract 8 from both sides:

Answer: x = 2 or x = -18