Question

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

Answer 1

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.