Math  /  Algebra

QuestionSolve the equation 2xx+48x4=2x2+32x216\frac{2 x}{x+4}-\frac{8}{x-4}=\frac{2 x^{2}+32}{x^{2}-16}. Is it an identity, conditional, or inconsistent?

Studdy Solution
Now, let's check if the equation is an identity, a conditional equation, or an inconsistent equation. An identity is true for all values of x, a conditional equation is true for some values of x, and an inconsistent equation is never true.
Since our equation is only true for x=8x = -8, it is a conditional equation.

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