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

##### 2 Answers

#### Explanation:

for this rational function to equate to zero means that the numerator must be zero as the denominator ≠ 0

Strong guidance given on manipulation!

#### Explanation:

Given:

Multiply both sides by

But

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Add

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

so

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The square root has to be

And