Solve the equation by completing the square. Round to the nearest tenth. X2 + 8x = 10

Answer 1

To solve this equation by completing the square, we first need to move the constant term to the other side of the equation:

x^2 + 8x = 10
x^2 + 8x - 10 = 0

Next, we complete the square by taking half of the coefficient of x (which is 8) and squaring it:

(8/2)^2 = 16

Add this to both sides of the equation:

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

Now, take the square root of both sides to solve for x:

x + 4 = ±√26
x = -4 ± √26

To the nearest tenth, the solutions are:

x ≈ -7.1, -0.9