Question 762418
Given: {{{(X+4)^2 = 15 - 2X^2}}}
Start by rewriting the equation.
{{{(X+4)*(X+4) = 15 - 2X^2}}}
We can now use FOIL on the left hand side of the equation.
*[invoke foil "(x+4)(x+4)"]
Rewrite the equation.
{{{X^2 + 8X + 16 = 15 - 2X^2}}}
Add {{{2X^2}}} to both sides.
{{{3X^2 + 8X + 16 = 15}}}
Subtract 15 from both sides.
{{{3X^2 + 8X + 1 = 0}}}
Now use the quadratic equation to solve for X.
*[invoke quadratic "X", 3,8,1]