Learn How to Solve a Radical Equation and Check Your Answers

The video tutorial covers solving equations involving square roots and quadratics. It begins with isolating the square root, then squaring both sides to eliminate it. The resulting quadratic equation is solved using factoring, and solutions are verified by substitution. The teacher emphasizes the importance of checking solutions to ensure accuracy.

What is the first step when solving an equation involving a square root?

• Divide both sides by a constant

• Multiply both sides by a constant

• Undo the square root by squaring

• Add a constant to both sides

Before squaring both sides of an equation, what must be done first?

• Add a constant to both sides

• Isolate the square root

• Multiply both sides by a constant

• Check the solutions

What is the result of squaring the expression (X + 4)?

• X^2 + 4

• X^2 + 4X + 4

• X^2 + 8X + 16

• X^2 + 16

Which method can be used to solve a quadratic equation?

• Using logarithms

• Completing the square

• Factoring or using the quadratic formula

• Graphing

Why is it important to check the solutions of a quadratic equation?

• To find the maximum value

• To determine the axis of symmetry

• To calculate the vertex

• To ensure they satisfy the original equation