Solve the equation by completing the square x^2-18x+58=0

We want to add something to the right side of the equation to get 81.

x^2 - 18x + 81 = 23

The final step is to factor and subtract 23. (Subtracting 23 is a unnecessary, but whatever)

(x - 9)^2 - 23 = 0

So "x" = 9 + sqrt23

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

the answer is 24

step-by-step explanation: