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Exercise

$y=\sqrt{\frac{x-2}{x^4+2}}$

Step-by-step Solution

1

The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$

$y=\frac{\sqrt{x-2}}{\sqrt{x^4+2}}$

Final answer to the exercise

$y=\frac{\sqrt{x-2}}{\sqrt{x^4+2}}$

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$\frac{x+1}{x-2}=\frac{x-3}{x}$

Main Topic: Rational Equations

Rational or fractional equations are those equations that contain algebraic fractions, and where the variable or unknown appears in the denominator of at least one of those fractions.

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