Name: SAT Math Help & School Math Mastery
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#36954

radicals

equations

hard

90 sec

$\frac{x ^{2} - a ^{2}}{a ^{2} - x ^{2}} = 7$
In the given equation, $a$ is a positive constant. Which of the following describes the solutions to the given equation?

A.

$x = \pm a^{2} + 49$

B.

$x = \pm a^{2} - 49$

C.

There are no real solutions for $x$ .

D.

$x = \pm 49 - a^{2}$