Factoring
Solve for x.
(x - 7)(x + 2) = 0
x = 7 or x = -2
Solve for x by taking the square root.
(x+12)^2=81
x=-3 or x=-21
Calculate
(b/2)^2
for the quadratic function:
109x^2+6x-89=0
(b/2)^2 = (6/2)^2 = 3^2=9
What is the quadratic formula?
x = -b +- sqrt(b2 - 4ac) /(2a)
Which team will win March Madness this year? (i.e., which team does Mr. Cohen have winning March Madness?)
Auburn Tigers
Solve the following quadratic equation by factoring.
x2 - 3x + 2 = 0
x = 2 x = 1
Solve for x by taking the square root.
(3x+1)^2=64
x = 7/3 or x =-3
Solve the following quadratic equation by completing the square.
7x2 - 28x + 21 = 0
x = 1 or x = 3
Solve the following quadratic equation using the quadratic formula. 2x2 - 5x - 3 = 0
x = (-b +/- sqrt(b2 - 4ac)) /2a
x = (5 +/- sqrt(25 - 4(2)(-3))) /2(2)
x = (5 +/- sqrt(25 +24)) / 4
x = (5 +/- sqrt 49)/ 4 = (5 +/- 7)/ 4
x = -2/4 or x = 12/4
x = -1/2 or x = 3
Lord, Jesus Christ, Son of God, have mercy on me, a sinner.
Solve the following quadratic equation by factoring.
x2 - 6x - 27 = 0
x = 9 x = -3
Solve for x by factoring and/or taking the square root.
x^2-8x+16=25
x = 9 or x = -1
Solve the following quadratic equation by completing the square.
3x2 - 18x + 10 = -5
x = 5 or x = 1
Solve the following quadratic equation by using the quadratic formula:
4x2 - 15x - 14 = 2x+1
x = (-b +/- sqrt(b2 - 4(4)(-15))) /2a
x = (17 +/- sqrt(289 + 240)) /8
x = (17 +/- sqrt (529)) /8 = (17 +/- 23) /8
x = 40/8 or x = -6/8
x = 5 or x = -3/4
Solve for x using whichever trick you'd like.
x^2-100=0
x = 10 or x = -10