SOLUTION: 3(x+3)^2=54

Question 499928: 3(x+3)^2=54
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
The way you have written the equation the exponentiation (squaring) of (x+3) would not affect the constant multiplier 3. So, my assumption is that the equation is:

.
Divide both sides by 3.
.
(x+3)^2 = 54/3
(x+3)^2 = 18
.
x+3 = sqrt(18)
x = sqrt(18) -3
x = 3*sqrt(2) -3
.
Or we could expand the square and use factoring or quadratic equation for the solution.
.
(x+3)^2 = 54
.
x^2 +6x +9 = 54
.
x^2 +6x -45 = 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=216 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4.34846922834953, -10.3484692283495. Here's your graph:

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