Name the Method
What method would you use to solve the following quadratic equation?
0 = -2.3x2 - 17.23x - 3.72
Graphing Calculator
x2 = 36
x = 6
x = -6
Solve by graphing (no graphing calculator)
-(x + 1)^2 + 1 = 0
x = 0 and x = -2
Solve the following equations by factoring.
x ^2 + 4x + 4 = 0
x = -2
How many solutions can a quadratic equation have?
0, 1, or 2
What method would you use to solve the following quadratic equation?
4x2 - 100 = 0
Square root method OR factoring
Solve for the roots.
2x^2-10=0
x = -sqrt5
x = sqrt5
Solve by graphing (no graphing calculator)
2x^2 - 8x = -6
x = 3 and x = 1
Solve the following equations by factoring
x ^2 - 2x − 24 = 0
x = 6 and x = -4
Solve by any method. State the method and the roots.
(x+2)^2 - 9 = 0
Square root method
x = 1 and x = -5
What method would you use to solve the following quadratic equation?
x2 = 49
Square Root Method
Solve for the roots.
(x-3)^2=25
x = -2 and x = 8
Solve by graphing (no graphing calculator)
1/2x^2-2x+2=0
x = 2
Solve the following equation by factoring.
1/2p^ 2 + 25 = 75
p = 10 and p = -10
Solve by any method. State the method and the roots.
0 = x2 - 12x + 36
Factoring
x = 6
What method would you use to solve the following quadratic equation?
2x2 - 4x - 16 = 0
Factoring - simplest
Graphing - more steps, but would also work
Solve using the Completing the Square
-2x^2+4x+10=0
x=1+-sqrt6
Solve using your graphing calculator.
- State the roots
- minimum or maximum value
- y-intercept.
2x^2+3x-20=0
x = 5/2 and x = -4
minimum @ (-0.75, -21.125)
y-intercept = -20
Solve the following equations by factoring
4n^ 2 + 12n + 9 = 0
n = -3/2
Solve by any method. State the method and the roots.
5 = x2 + 3x
Graphing calculator or Quadratic formula (not factorable)
x = 1.193 and x = -4.193