SOLUTION: For about what value(s) of x does g(x)=k(x) if g(x)=2x^2 -8 and k(x) =-x^2 -2? x~ +or-2 x~ +or-2.3 x~ 1.4 x~ +or- 1.4

Question 151501: For about what value(s) of x does g(x)=k(x) if g(x)=2x^2 -8 and k(x) =-x^2 -2?
x~ +or-2
x~ +or-2.3
x~ 1.4
x~ +or- 1.4

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equations.

and

Since , this means that

Start with the given equation.

Add to both sides. Add 2 to both sides.

Combine like terms.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

Break up the fraction.

Reduce.

or Break up the expression.

So the answers are or

which approximate to or

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