Factoring
Square Roots
Standard Form
Quadratic Formula
Random Quadratics
100
Solve the following quadratic equation by setting each factor equal to zero. (x - 7)(x + 2) = 0
x = 7 x = -2
100

Solve the following quadratic equation by using square roots: x2 = 4

x = 2 x = -2

100

What is the standard form of a quadratic equation?

ax^2 + bx + c

100
What is the quadratic formula?
x = -b +- sqrt(b^2 - 4ac) 2a
100

If the discriminant of a quadratic is negative, how many REAL solutions does it have? 

0  ( two imaginary )

200

Solve the following quadratic equation by factoring.    x2 + 3x + 2 = 0

x = -2 x = -1

200

Solve the following quadratic equation by using square roots: x^2 = 121

+11 or -11

200

Write the following quadratic equation in vertex form: x2 - 6x = -5

(x-3)2-14

200
Solve the following quadratic equation by using the quadratic formula: x^2 + 6x + 5 = 0
x = -1 x = -5
200

Simplify the following root 

sqrt 80


4 root 5

300

Solve the following quadratic equation by factoring. 36x2 -49= 0

x = 7/6 x = -7/6

300

Solve the following quadratic equation by using square roots: 4x^2 = 400

x = 10 x = -10

300

A quadratic has a zero at (1/2) and a prime linear factor of (x-2)


(x-2)(2x-1)


2x2-5x+2

300

Solve the following quadratic


7x2-2x=-12

(1+sqrt83)/7


(1-sqrt83)/7

300

Solve the following quadratic.


(3x+2)2=48

(-2+4 root 3) / 3

(-2-4 root 3) / 3

400

Solve the following quadratic equation by factoring.    x2 - 6x - 27 = 0

x = 9 x = -3

400

Solve the following quadratic equation by using square roots: 4x2 -9 = -8

1/2 or -1/2

400

Factor the following quadratic

15x2-27x-6

3(5x+1)(x-2)

400

Solve the following quadratic equation


x2=-x-1

(-1+i root 3)/2


(-1-i root 3)/2

400

Simplify the following root


sqrt     -108x2

6xi root 3

500

Solve the following quadratic equation by factoring. 2x2 - 5x = 3

x = -1/2 x = 3

500

Solve the following quadratic equation by using square roots: -5x2 + 3 = 248

x = 7i  x = -7i

500

The area of a rectangular garden can be modeled by the expression x2-15x+44. The perimeter is 70 meters. Determine the length and width in terms of x of the garden (Hint: if you haven't factored, you're wrong) 

(x-4) and (x-11)
500

-11x2-4x+12=0

(-2-2 root 34)/11


(-2+2 root 34)/11

500

Factor the following quadratic expression


x2+16

not factorable

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