Solving Quadratic Equations

If the discriminant is positive, then the quadratic has:

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solution

Convert x²+6x+9 to factored form and identify the solution.

• (x+3)(x+3); x=-3

• (x+4)(x+5); x=-4, -5

• (x-3)(x-3); x=3

• Not factorable

• Divide 18 by 2, then square that number and add it to both sides of the equation

• Square 18 and then add it both sides of the equation

• It already is a perfect square

• Subtract 18x from both sides and then divide both sides by x to find the answer

Solve by completing the square.
y² + 10y = -9

• 1 and -12

• -1 and -9

• 1 and -9

• 1 and -1

Calista is painting a new picture. The following equation represents the area. 35 = (W)(2 + W). Which equation is equivilant?

• W² - 2W - 35 = 0

• W² + 2W - 35 = 0

• W² + 2W + 35 = 0

• W² - 2W + 35 = 0

How many solutions can a quadratic have?

• 1 solution

• 3 solutions

• 0 solutions

• 2 solutions

What is the quadratic formula?

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Use the discriminant to find the number of solutions for the following equation.

y = -3x² +5x - 8

• 2 solutions

• 1 solution

• 0 solutions

4(x+9)²=24

• {-9+√6,-9-√6}

• {3,-3}

• {3}

• so solution

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3