Solving Quadratic Equations with the Square Root Property

This video tutorial explains how to solve quadratic equations using the square root property. It covers several examples, including equations with perfect square trinomials and those requiring division or addition to isolate terms. The tutorial demonstrates step-by-step solutions and checks the answers by substituting them back into the original equations.

What is the first step in solving the equation 3x^2 = 48?

• Add 48 to both sides

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 48 from both sides

What are the solutions to the equation 3x^2 = 48?

• x = 4 or x = -4

• x = 6 or x = -6

• x = 2 or x = -2

• x = 8 or x = -8

What is the next step after adding 45 to both sides in the equation 5x^2 - 45 = 0?

• Multiply both sides by 5

• Divide both sides by 5

• Take the square root of both sides

• Subtract 45 from both sides

What are the solutions to the equation 5x^2 - 45 = 0?

• x = 3 or x = -3

• x = 9 or x = -9

• x = 1 or x = -1

• x = 5 or x = -5

What is the first step in solving the equation 4x^2 + 1 = 50?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 1 from both sides

• Add 1 to both sides

What are the solutions to the equation 4x^2 + 1 = 50?

• x = 3/2 or x = -3/2

• x = 5/2 or x = -5/2

• x = 7/2 or x = -7/2

• x = 9/2 or x = -9/2

What is the first step in solving the equation (x - 3)^2 = 25?

• Add 3 to both sides

• Subtract 3 from both sides

• Take the square root of both sides

• Multiply both sides by 3

What are the solutions to the equation (x - 3)^2 = 25?

• x = 8 or x = -2

• x = 6 or x = -6

• x = 5 or x = -5

• x = 7 or x = -7

What is the first step in solving the equation x^2 + 10x + 25 = 16?

• Factor the trinomial

• Subtract 25 from both sides

• Add 25 to both sides

• Take the square root of both sides

What are the solutions to the equation x^2 + 10x + 25 = 16?

• x = 1 or x = 9

• x = -1 or x = -9

• x = 2 or x = 8

• x = -2 or x = -8