Solving Quadratic Equations Using Square Roots

What is one condition where solving quadratic equations by taking square roots is particularly effective?

• When the equation is linear

• When the b value is 0

• When the equation has no solution

• When the equation is cubic

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

• Add the constant term

• Subtract the constant term

• Isolate the perfect square

• Multiply both sides by 2

What should you remember when taking the square root of a number?

• You get a positive answer only

• You get a negative answer only

• You get both positive and negative answers

• You get no answer

In Example 1, what is the value of x when x^2 = 36?

• x = 6

• x = -6

• x = 0

• x = ±6

In Example 1, what operation is performed to isolate the perfect square term?

• Multiply both sides by 2

• Add 10 to both sides

• Divide both sides by 2

• Subtract 10 from both sides

In Example 2, what are the two possible values of x when x - 5 = ±6?

• x = 1 and x = -1

• x = 11 and x = -1

• x = 6 and x = -6

• x = 5 and x = -5

In Example 2, what is the first step to isolate the perfect square term in parentheses?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 6 from both sides

• Add 6 to both sides

In Example 3, what is the simplified form of the square root of 8?

• √4

• 4

• 2

• 2√2

In Example 3, what is the final form of the solution for x?

• x = 7 ± 2√2

• x = -2√2 ± 7

• x = -7 ± 2√2

• x = 2√2 ± 7

In Example 3, what operation is performed to isolate the perfect square term multiplied by a coefficient?

• Subtract 2 from both sides

• Divide both sides by 3

• Multiply both sides by 3

• Add 2 to both sides