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Ainat [17]
1 year ago
9

What is the solution to the equation startfraction y over y minus 4 endfraction minus startfraction 4 over y 4 endfraction = sta

rtfraction 32 over y squared minus 16 endfraction? y = –4 and y = 4 y = 0 all real numbers no solution
Mathematics
1 answer:
zmey [24]1 year ago
6 0

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

<h3>What is a fraction?</h3>

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;

brainly.com/question/17431959

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