Quadratic Equations: Solving by Taking the Square Root

What is the first step in solving a quadratic equation by taking the square root?

• Add a constant to both sides

• Multiply both sides by a constant

• Divide both sides by a constant

• Isolate the squared term

When solving x + 1 squared equals 36, what are the two possible values of x?

• 5 and -5

• 6 and -6

• 5 and -7

• 7 and -5

How can you simplify the square root of 20?

• By using a factor tree

• By multiplying by 4

• By adding 5

• By dividing by 2

What is the simplified form of x minus 2 equals the square root of 20?

• x = 2 ± √5

• x = 2 ± 2√5

• x = 2 ± 5

• x = 2 ± √20

In the equation 3 times x plus 6 squared equals 32, what is the first step to isolate the squared term?

• Subtract 6 from both sides

• Multiply both sides by 3

• Divide both sides by 3

• Add 6 to both sides

What is the square root of 16?

• 8

• 4

• 16

• 2

How do you handle a fraction in a quadratic equation when isolating x squared?

• Multiply both sides by the reciprocal

• Divide both sides by the fraction

• Subtract the fraction from both sides

• Add the fraction to both sides

What is the result of taking the square root of 75?

• 3√5

• 5√3

• 25

• 15

What is the final step in solving a quadratic equation by taking the square root?

• Multiply both sides by a constant

• Subtract a constant from both sides

• Isolate the variable

• Add a constant to both sides

What is the importance of checking your solutions in a quadratic equation?

• To find additional solutions

• To simplify the equation further

• To verify the solutions satisfy the original equation

• To ensure the solutions are positive