Solving Quadratics

Extracting Square roots

100

Solve the equation and simplify the square root. 

x^2-169=0

13,-13

200

Solve the equation and simplify the square root.

x^2-75=0

+-5sqrt3

300

Solve and simplify the square root

2x^2+5=185

+-3sqrt10

400

Solve and simplify the square root

7(x+1)^2-3=340

-6,-8

500

Solve and Simplify the Square root (including rationalizing the denominator)

10(x-7)^2-4=0

7+-sqrt10/5

Solution by Factoring

100

Is the following quadratic factorable?

x^2-6x+8

Yes

200

Is the following Quadratic factorable?

3x^2+18x-14

No

300

Solve by factoring:

x^2+4x-30=-9

3,-7

400

Solve by factoring:

x^2-9x=0

9,0

500

Solve by factoring

2x^2+2=5x

2,1/2

Completing the Square

100

Find the value c that completes the square:

x^2+8x+c

16

200

Find the value c that completes the square:

x^2+7x+c

49/4

300

Find the value that completes the square:

x^2-2/5x+c

1/25

400

Solve by completing the square:

x^2+3x=28

4,-7

500

Solve by completing the square:

x^2+6x-5=0

-3+-sqrt14

Quadratic Equation and complex solutions

100

What is the value of the discriminant?

x^2-6x+9

0

200

What is the discriminant and how many solutions of what type are there?

5x^2+4x-6=0

136, 2 real solutions

300

What is the value of the discriminant and how many solutions are there of what type?

x^2=-1

-4, 2 imaginary solutions

400

Solve using the quadratic equation:

10x^2-6x-1=0

(3+-i)/10

500

Solve Using the Quadratic Equation

12x^2+x+2=0

(-1+-isqrt95)/24