Solving Quadratic Equations using Factoring and Square Roots

Solve the equation by taking the square root.

7x² - 8 = 559

Solve the equation by taking the square root.

4x² - 4 = 0

Solve the equation by factoring.

x² + 9x = -14

• x = { -2, -7}

•  x = {6, 4}

•  x = {7, 8}

•  x = {-1, -6}

Solve the equation by factoring.

5x² - 45x = -90

• x = {-6, -3}

•  x = {1, 4}

•  x = {6, 3}

•  x = {5, -3}

Solve the equation by factoring.

x² = 6x - 9

• x = {-4, -3}

•  x = {3}

•  x = {4, 3}

•  x = {3, 5}

How many solutions are there?

• 0

• 1

• 2

• 3

Solve by factoring: x² = 7x + 18

• -7 and -18

• 9 and 2

• 9 and -2

• 2 and 7

When will a quadratic equation have no solution?

• When it does not equal 0.

• When there is a negative in the square root.

• When there is a bx term.

• When there is no product/sum numbers.

Which of the following cannot be solved with the Square Root method?

• x²-9=0

• x²-15=0

• x²-9x=0

• 6x²-15=0

What is the first step to solving x²-9x=10 with Factoring?

• Look for 2 numbers whose sum is -9 and product is 10.

• Subtract 10 from both sides.

• Divide -9 by 2 and square the answer.

• Look for 2 numbers whose sum is 10 and product is -9.