Solve the equation by completing the square. Round to the nearest tenth.
x*+8x=10
(1 point)
O 1.1, 9.1
O 1.1, -9.1
0 - 1.1, 9.1
0-1.1,-9.1
To complete the square, we need to halve the coefficient of x, which is 8, and then square it.
Step 1: Divide the coefficient of x by 2 and then square the result
(8/2)^2 = 16
Step 2: Add the result to both sides of the equation
x^2 + 8x + 16 = 10 + 16
x^2 + 8x + 16 = 26
Step 3: Factor the left side of the equation
(x + 4)(x + 4) = 26
Step 4: Take the square root of both sides
x + 4 = ±√26
x = -4 ±√26
Rounded to the nearest tenth, x is approximately - 4 + 5.1 = 1.1 and -4 -5.1 = -9.1
Therefore, the solutions are x = 1.1 and x = -9.1
Answer: O 1.1, -9.1