How do you solve the rational equation $x^2/(x - 4) - 7/(x-4) = 0$ ?

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Answer 1 · 2016-02-01T01:06:37

Everything is already on the same denominator, so we can solve the equation easily.

We can eliminate the denominators

$x^2$ - 7 = 0

Factor as a difference of squares:

(x + √7)(x - √7) = 0

x = -√7 and √7

How do you solve the rational equation x^2/(x - 4) - 7/(x-4) = 0x^2/(x - 4) - 7/(x-4) = 0?