Solve the following equation for x.x2 - 9x + 18 = 0

Sure, let's solve the quadratic equation step by step:

The given equation is x^2 - 9x + 18 = 0

Step 1: Identify the coefficients a, b, and c in the equation. Here, a = 1, b = -9, and c = 18.

Step 2: Use the quadratic formula, which is x = [-b ± sqrt(b^2 - 4ac)] / 2a.

Step 3: Substitute the values of a, b, and c into the formula.

x = [9 ± sqrt((-9)^2 - 4118)] / 2*1 x = [9 ± sqrt(81 - 72)] / 2 x = [9 ± sqrt(9)] / 2 x = [9 ± 3] / 2

Step 4: Solve for x.

x = (9 + 3) / 2 = 6 x = (9 - 3) / 2 = 3

So, the solutions to the equation x^2 - 9x + 18 = 0 are x = 3 and x = 6.