Learn How to Solve a Radical Expression Where One Solution is Extraneous

The video tutorial covers solving equations involving square roots and quadratics. It begins with a plan for more practice sessions, then demonstrates isolating variables and solving equations by squaring both sides. The instructor emphasizes the importance of using the quadratic formula and factoring, and highlights common mistakes such as incorrect squaring. The session concludes with checking solutions for extraneous results, ensuring the correct answers are identified.

What is the first step to eliminate a square root in an equation?

• Add a constant to both sides

• Square both sides of the equation

• Subtract a constant from both sides

• Divide both sides by a constant

Which method is used to expand the expression (X + 5)^2?

• Combine like terms

• FOIL

• Use the quadratic formula

• Distribute

What is a perfect square trinomial?

• A trinomial that can be factored into two identical binomials

• A trinomial with no real roots

• A trinomial that cannot be factored

• A trinomial with three different terms

What should you do before factoring a quadratic equation?

• Add a constant to both sides

• Multiply both sides by a constant

• Divide both sides by a variable

• Set the equation equal to zero

Why is it important to check your solutions in quadratic equations?

• To determine the axis of symmetry

• To simplify the equation further

• To find the maximum value of the equation

• To ensure the solution is not extraneous