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Consider the equation scoring the left side and simplifying results in scoring the right side and simplifying results

Consider the equation scoring the left side and simplifying results in scoring the-example-1
User Babyrats
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1 Answer

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We are given the following equation:


\sqrt[]{9x+5}=x-7

If we square the left side we get:


(\sqrt[]{9x+5})^2

Since the square and the square root cancel each other we get:


(\sqrt[]{9x+5})^2=9x+5

Since we can't simplify any further this is the expression we get on the left side.

Now, We take the square of the right side, we get:


(x-7)^2

Now, to expand the expression we use the following relationship:


(a\pm b)^2=a^2\pm2ab+b^2

Applying the result to the given expression we get:


(x-7)^2=x^2-14x+49

Since we can't simplify any further this is the expression for the right side.

User Spy
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