Solving Radical Equation to Quadratic 1

Sick of ads?‚Äč Sign up for MathVids Premium
Taught by YourMathGal
  • Currently 4.0/5 Stars.
10289 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson, we learn how to solve radical equations that become quadratic equations by isolating the square root and then squaring both sides. This leaves us with a quadratic equation that is easier to solve by factoring and checking each solution. It is important to check each solution in the original equation as sometimes neither solution or both solutions may check.

Lesson Description:

Example of solving a Radical Equation that becomes a quadratic equation.

More free YouTube videos by Julie Harland are organized at

Questions answered by this video:
  • How do you solve an equation with a radical in it?
  • How do you solve and check sqrt(x - 4) + x = 6?
  • How do you solve and check sqrt(x + 2) + 4 = x?
  • How do you solve and check x - 4 = 36 - 12x + x^2?
  • How do you solve and check x + 2 = x^2 - 8x + 16?
  • How do you convert a radical equation into a quadratic equation?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson shows how to go from a radical equation to a quadratic equation by squaring both sides after isolating the radical. Then, once you obtain the quadratic equation in standard form, you can solve it using one of several different methods. Finally, you can check your solution, which is especially important when you started off with a radical. All steps involved in solving two different equations are shown.