SOLUTION: This is solving using the quadratic formula. help please! (x+4)^2=15-2x^2

Question 762418: This is solving using the quadratic formula. help please!
(x+4)^2=15-2x^2
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Given:
Start by rewriting the equation.

We can now use FOIL on the left hand side of the equation.
ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'foil'.

Error occurred executing solver 'foil' .

Rewrite the equation.

Add to both sides.

Subtract 15 from both sides.

Now use the quadratic equation to solve for X.

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=52 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.13148290817867, -2.535183758488. Here's your graph:

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