SOLUTION: Give exact and approximate solutions to three decimal places (x-6)^2=18

Question 471368: Give exact and approximate solutions to three decimal places
(x-6)^2=18
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
(x-6)2=18
x2-12x+36=18
x2-12x+18=0

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=72 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 10.2426406871193, 1.75735931288072. Here's your graph:

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