Solving Equations Involving Squares and Square Roots

The video tutorial covers solving equations involving squares and square roots, emphasizing the concept of inverse operations. It explains how to solve linear equations by isolating variables using inverse operations, such as addition and subtraction. The tutorial then moves on to quadratic equations, demonstrating how to solve them by taking square roots and considering both positive and negative solutions. Finally, it addresses radical equations, showing how to solve them by squaring both sides to isolate the variable.

What is the inverse operation of squaring a number?

• Dividing by two

• Multiplying by two

• Taking the square root

• Adding the number to itself

When solving the equation x^2 = 100, what are the possible values of x?

• Only 10

• Both 10 and -10

• Only -10

• Neither 10 nor -10

What is the term used for equations where the variable is squared?

• Radical equations

• Linear equations

• Quadratic equations

• Cubic equations

In a radical equation, what operation is used to isolate the variable under a square root?

• Addition

• Subtraction

• Squaring

• Division

If y is under a square root and equals 15, what is the value of y squared?

• 150

• 30

• 15

• 225