Question

Use any method to solve the equation. If necessary, round to the nearest hundredth. 9x^2 = 17

Answer 1

1.37

Explanation:

First, we want to isolate the variable x. Do this by dividing both sides by 9:

`(9x^2)/(9) =17/9`

`x^(2) =17/9`

Now, square root both sides:

`√(x^2)= √(17/9)`

x =
`√(17/9) =√(17)/3`

Finally, we can use a calculator to finish off the problem:

x =
`√(17)/3` ≈ 1.37

Hope this helps!

Answer 2

9x^2 = 17

Divide both sides by 9

X^2 = 17/9

Take the square root of both sides

X = sqrt(17/9) and -sqrt(17/9)

Simplify:

X = sqrt(17)/3 and -sqrt(17)/3