Solve the equation by completing the square round to the nearest hundred of necessary, X squared +10 X equals 18
To solve the equation by completing the square, we need to add and subtract (10/2)^2 to the equation.
Given equation: x^2 + 10x = 18
Step 1: Add and subtract (10/2)^2 = 25 to both sides of the equation:
x^2 + 10x + 25 = 18 + 25
(x + 5)^2 = 43
Step 2: Take the square root of both sides to solve for x:
x + 5 = ±√43
x = -5 ± √43
Therefore, the solutions to the equation x^2 + 10x = 18 by completing the square are approximately:
x = -5 + 6.56 ≈ 1.56
x = -5 - 6.56 ≈ -11.56
So the solutions to the equation are x ≈ 1.56 and x ≈ -11.56.