Solving Quadratics with Any Method

Solve each equation by factoring, taking square roots, or using the Quadratic Formula.

When using the Quadratic Formula method, what are a, b, and c for the equation: 9x²-x= 0?

• a=9, b = -1, c =0

• a=1, b = 0, c =0

• a=9, b = 0, c =0

• a=9, b = 1, c =0

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.

When using the Completing the Squares method, what number would fill in the blank:

x²+12x ______ = 8 + _______

• 6

• 36

• 12

• 16

Using the Square Root method, what is the first step to solving the equation: 8x²+9=10

• Subtract 10 from both sides

• Divide by 8

• Subtract 9 from both sides

• Take the square root of both sides.

Which method will work well for ANY quadratic equation?

• Factoring

• Square Root

• Completing the Sqare

• Quadratic Formula

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.

Since you can't solve this one by graphing, what method would you choose to solve it?

• Inverse Operations

• Factoring

• Quadratic Formula

If you HAD to solve this equation by completing the square, what would the first step be?

• Divide everything by 7

• Divide the -21 by 2

• Factor the trinomial