Math Tutorial for Solving a Radical Equation by Applying Factoring Root

The video tutorial explains how to solve an equation involving a square root by isolating the square root term and then squaring both sides. It highlights common mistakes students make when squaring binomials and demonstrates the correct use of the FOIL method. The tutorial then transitions to solving the resulting quadratic equation by factoring and applying the zero product property. Finally, it emphasizes the importance of checking solutions to ensure they are correct.

What is the first step to isolate the square root in the equation involving three X + 7?

Explain the mistake students commonly make when squaring a binomial expression like X - 1.

How do you set a quadratic equation equal to zero, and why is this step important?

What method can be used to factor the equation X^2 - 5X - 6?

Why is it necessary to check the solutions obtained from a quadratic equation?