Hope you could get an idea from here.
Doubt clarification - use comment section.
To solve the problem you must apply the proccedure shown below:
1. You have the following quadratic equation given in the problem:
<span>9x^2+2x-7=0
</span>
2. When you factor it, you obtain:
(9x-7)(x+1)=0
3. Then, you have that the roots of the quadratic equation are:
(9x-7)(x+1)=0
x1=7/9
x2=-1
To simplify the given radical form, we must recall some properties of exponents as shown below.
1. 1/x⁻ⁿ = xⁿ
2. x¹/² = √x
Now, going back to 1/x⁻³/⁶, we have
1/x⁻³/⁶ = x³/⁶
x³/⁶ = x¹/²
x¹/² = √x
Using the properties provided, we have a simplified form of √x.
<span>Answer: √x</span>
Here is a picture of my work. The range is solved when you subtract the biggest number from the smallest number. Hope this helps