Question

What is the solution to the equation startfraction y over y minus 4 endfraction minus startfraction 4 over y 4 endfraction = startfraction 32 over y squared minus 16 endfraction? y = –4 and y = 4 y = 0 all real numbers no solution

Answer 1

The solution to the given equation is 4 and -4.

What is a fraction?

Fractions are the numerical values that are a part of the whole.

A whole can be an object or a group of objects.

The given equation is;

$\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}$

A fraction is used to represent the portion/part of the whole thing.

The solution of the fraction is determined in the following steps given below.

$\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}\\\\\rm \dfrac{y(y+4)-4(y-4)}{(y - 4)(y+4)}= \dfrac{32}{(y-4)(y+4)}\\\\y^2+4y-4y+16=32\\\\y^2=32-16\\\\y^2=16\\\\y=\pm 4$

Hence the solution to the given equation is 4 and -4.

Learn more about fractions here;

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