Roots and Quadratics

Square Roots

100

Simplify

squareroot(45)

3root(5)

200

Simplify

squareroot(40)

2root(10)

300

Simplify

squareroot(12)

2root(3)

400

Simplify

squareroot(32)/4

root(2)

500

Simplify

(-2+squareroot(8))/6

(-1+root(2))/3

Factoring

100

Solve for x by factoring

x²+6x+9=0

x=-3

200

Solve for x by factoring:

x²-5x-14=0

x=7 or 2

300

Solve for x by factoring:

9x²-16=0

x=4/3 or -4/3

400

Solve for x by factoring:

4x²-11x-3=0

x=-1/4 or 3

500

Solve for x by factoring:

6x²-x-1=0

x=-1/3 or 1/2

Quadratic Formula

100

Solve for x:

x²-2x-2=0

x=1pm root(3)

200

Solve for x:

x²-4x-1=0

x =2pm root(5)

300

Solve for x:

2x²-2x-3=0

x=(1pm root(7))/2

400

Solve for x:

x²+2x-11=0

x=-1pm 2root(3)

500

Solve for x:

3x²+x-4=0

x=1 or -4/3

Any Method

100

Solve for x

x²-3x=0

x=0, 3

200

Solve for x:

3x²-4=0

x = pm 2/root(3)

or

x = pm 2root(3) / 3

300

Solve for x

3x²+x-4=0

x = 1 or -4/3

400

Solve for x:

3x²+5x+1=0

x=(-5pm root(13))/6

500

Solve for x:

3x²+5x+3=0

no real solutions

More anyMethod

100

Solve for x:

2x²-x-1=0

x=1 or -1/2

200

Solve for x:

x²+2x-4=3x-3

x=(1pm root(5)) / 2

300

Solve for x

2x²+3x-4=-2x²+3x+5

x=-3/2 or 3/2

400

Solve for x:

2x²+5x=4x+3

x=1 or -3/2

500

Solve for x:

(x+3)(x-4)=8

x=-4 or 5