Solve Equations Where Take Square Root Both Sides

What are the steps to complete the square for solving quadratics?

• The steps to complete the square for solving quadratics are: Write the quadratic equation in the form ax^2 + bx + c = 0. Move the constant term (c) to the other side of the equation. Divide the coefficient of x (b) by 2 and square it. Add the squared term to both sides of the equation. Factor the perfect square trinomial on the left side of the equation. Take the square root of both sides of the equation. Solve for x by isolating it on one side of the equation. Simplify and write the solutions.

• Write the quadratic equation in the form ax^2 + bx + c = 0. Move the constant term (c) to the other side of the equation. Divide the coefficient of x (b) by 2 and square it. Add the squared term to both sides of the equation. Factor the perfect square trinomial on the right side of the equation. Take the square root of both sides of the equation. Solve for x by isolating it on one side of the equation. Simplify and write the solutions.

• Write the quadratic equation in the form ax^2 + bx + c = 0. Move the constant term (c) to the other side of the equation. Divide the coefficient of x (b) by 2 and square it. Subtract the squared term from both sides of the equation. Factor the perfect square trinomial on the right side of the equation. Take the square root of both sides of the equation. Solve for x by isolating it on one side of the equation. Simplify and write the solutions.

• Write the quadratic equation in the form ax^2 + bx + c = 0. Move the coefficient of x (b) to the other side of the equation. Divide the constant term (c) by 2 and square it. Subtract the squared term from both sides of the equation. Factor the perfect square trinomial on the left side of the equation. Take the square root of both sides of the equation. Solve for x by isolating it on one side of the equation. Simplify and write the solutions.

Solve by taking square roots:
5b² - 4 = 41

• b = 9, b = -9

• b = 3, b = -3

• b = 8, b = -8

• no solution

Solve by taking square roots:
k² - 6 = 43

• k = √37

• k = 37 or - 37

• k = 7, k = -7

• no solution

Solve by taking square roots:

5m² + 1 = 6

• m = 1

• m = 1 or -1

• m = √7

• m = 7/5 m = -7/5

• x = 5
• x = 10
• x = -9
• x = -5

• { 1 }

• { 1, 9 }

• { 9 }

• No Solution

• x = 12
• x = 24
• x = 144
• x = 121

Solve for x

• No solutions

• 2

• 1

• -4

Solve the square root equation:

• A

• B

• C

• D

• x = 2
• x = 4
• x = 7
• x = 9