Determine the Best Method of Solving Quadratic Equations

If the discriminant is positive, d ​ (a)   0, then there are ​ (b)   real solutions.

If the discriminant is zero, d ​ (c)   0, then there is ​ (d)   real solution.

If the discriminant is negative, d ​ (e)   0, then there are no real solutions.

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Which method of solving quadratic equations gives exact solutions for any quadratic equation.

• Factoring

• Graphing

• Completing the Square

• Quadratic Formula

Solve the equation: \left(x+2\right)^2=64

• x = 6 & 10

• x = -6 & -10 

• x = -6 & 10 

• x = 6 & -10

• 6

• 4

• 2

• 0

What is a disadvantage to Graphing as a method to solve a Quadratic Equation?

• The graph may not give exact solutions.

• Can only be used for certain equations.

• It takes time to do the calculations.

• It is hard to draw a parabola.

• -9

• 9

• -3

• 36

What is the value of the discriminant that results irrational solutions?

• negative

• zero

• positive, perfect square

• positive, not a perfect square

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Which method is MOST EFFICIENT to solve:
5x²  -3x - 7  = 0

• Square Root Method

• Factoring

• Complete the Square

• Quadratic Formula

Factor and Solve

6x² + 17x + 12 = 0

• x = -4/3, x = -3/2

• x = 9, x = 8

• x = 4, x = 3

• x = -4, x = -3