Solving Quadratics Using Square Roots

The video tutorial covers solving quadratic equations by taking the square root. It explains the square root property and provides multiple examples, demonstrating how to isolate x^2, take the square root of both sides, and simplify radicals. The tutorial emphasizes the importance of including both positive and negative solutions and offers practice problems for students to try on their own.

When is the square root method used for solving quadratic equations?

• Only when a is greater than 1

• Only when c is equal to 0

• When there is no b in the standard form

• Whenever there is a b in the equation

What is the first step in solving a quadratic equation using the square root method?

• Isolate the x squared term

• Take the square root of both sides

• Simplify the radical

• Divide by the coefficient of x squared

What does x equal when x squared equals 64?

• x = ±8

• x = 8

• x = ±64

• x = 64

What does x equal when x squared equals 1?

• x = ±1

• x = 1

• x = ±2

• x = 0

How do you simplify the square root of 32?

• ±8

• ±6√2

• ±5√2

• ±4√2

What is the simplified form of the square root of 12?

• 4√3

• 3√2

• √12

• 2√3

What is the result of x squared equals 27?

• x = ±3√3

• x = ±9

• x = ±3

• x = ±27

How is the square root of 60 simplified?

• ±2√15

• ±3√20

• ±4√15

• ±5√12

What is the correct first step in solving -1/2 x squared equals -40?

• Subtract 40 from both sides

• Add 1 to both sides

• Divide by -1/2

• Multiply by -2

What is the correct simplification for the square root of 80?

• ±10√8

• ±8√10

• ±5√4

• ±4√5