Solve the equation by completing the square, or any method you prefer. Round to the nearest tenth.

Question

x^2 + 8x =10
A. 1.1, 9.1
B. 1.1, -9.1
C. -1.1, 9.1
D. -1.1, -9.1

Answer 1

To solve by completing the square, we need to move the 10 to the other side:

x^2 + 8x = 10
x^2 + 8x + 16 = 10 + 16
(x + 4)^2 = 26

Now, we take the square root of both sides:

x + 4 = ± √26
x = -4 ± √26

This gives us two solutions: -4 + √26 and -4 - √26

Rounded to the nearest tenth, the solutions are:

A. 1.1, 9.1