Raise both sides of the equation to a power equal to the index of the radical.
x=2
Practice makes perfect
To solve equations with a variable expression inside a radical, we can raise both sides of the equation to a power equal to the index of the radical. Let's try to solve our equation using this method!
We now have a quadratic equation, and we need to find its roots. To do it, let's identify the values of a, b, and c.
x^2-x-2=0 ⇔ ( 1)x^2+( - 1)x+( - 2)=0
We can see that a= 1, b= - 1, and c= - 2. Let's substitute these values into the Quadratic Formula.
In this case we got a false statement, so x=- 1 is an extraneous solution. Therefore, we obtain that x=2 is the only solution of the original equation.
