Rearrange the radical equation so that the radical expression is isolated. Then raise both sides of the equation to the second power.
5
Practice makes perfect
To solve equations with a variable expression inside a radical, we first want to make sure the radical is isolated. Then 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 -15x +50 = 0 ⇔ 1x^2+( - 15)x+ 50=0
We can see that a= 1, b= - 15, and c= 50. Let's substitute these values into the Quadratic Formula.
Using the Quadratic Formula, we found that the solutions of the given equation are x= 15± 5 2. Therefore, the solutions are x_1=10 and x_2=5.
Let's check them to see if we have any extraneous solutions.
