x 2 −11x+22=−2

The equation you've given is: x^2 - 11x + 22 = -2.

Let's solve it step by step:

Step 1: Rearrange the equation to set it equal to zero.

x^2 - 11x + 22 + 2 = 0

This simplifies to:

x^2 - 11x + 24 = 0

Step 2: Factor the quadratic equation.

(x - 8)(x - 3) = 0

Step 3: Set each factor equal to zero and solve for x.

x - 8 = 0 => x = 8

x - 3 = 0 => x = 3

So, the solutions to the equation are x = 8 and x = 3.