Question

Find the value of x. If necessary, write youranswer in simplest radical form.9x=(Simplify your answer. Type an exact answer, using radicals as needed.)

Answer 1

EXPLANATION

Given the right triangle, we can apply the Pythagorean Theorem in order to get the value of x:

`\text{hypotenuse}^2=\text{leg}^2_1+\text{leg}^2_2`

Replacing terms:

`9^2=x^2+1^2`

Computing the powers:

`81=x^2+1`

Subtracting -1 to both sides:

`81-1=x^2`

Switching sides:

`x^2=80`

Applying the squared root to both sides:

`x=\sqrt[]{80}`

Simplifying:

`x=4\sqrt[]{5}`