Non-linear equations (one variable)

Solve using Square Root Property.

k² - 6 = 43

• k = √37

• k = 37 or - 37

• k = 7, k = -7

• no solution

Solve by taking the square root:

4x² = 100

• ±10

• ±25

• ±5

• 5

Solve the quadratic equation using Square Roots. Round answers to the nearest tenth.
 $-4x^2+5=-27$  

[Write your answers in this format:
x = # and x = #]

What are the two solutions to             x² - 4 = 0

• x = 2 and x = -2
• x = 4 and x = - 4
• x = 2 and x = -4
• x = 2 and x = 2

• Factoring

• Square Root

• Completing the Square

Answer explanation

REMEMBER: The Square Root Method only works when b=0. Isolate x² then take the square root on both sides.

If the answer is not an integer, simplify the radical.

**You can't take a square root of a negative number!

Solve by Square root method.

8x² + 9 = 90

• Subtract 9 from each side.

  8x² + 9 - 9 = 90 - 9

  8x² = 81

Solve by extracting square roots 2x² = 50.

Choose two values of x.

• x = 5

• x = -5

• x = 10

• x = -10

What is the first step when solving using square roots?

• Factor using the box method

• Isolate the x²

• Get the equation equal to zero

• Plug the equation into the graphing calculator

If you were going to use square root method to solve the following, what would you do first?

2(x -3)² = 8

• Distribute the coefficient of 2

• Divide both sides by 2

• Distribute the exponent of 2

• Square root both sides