Factoring Quadratics Extravaganza

Solving by factoring

100

Solve this quadratic equation by factoring.

x^2 +2x=3

x=-3 , x=1

200

Solve this quadratic equation by factoring.

x^2 +16=10x

x=2, x=8

300

Solve this quadratic equation by factoring.

18x^2 -3x=6

x=2/3, x=-1/2

400

Solve this quadratic equation by factoring.

x^2 -x-35=-x+1

x=-6, x=6

500

Solve this quadratic equation by factoring.

2x^2 -8=31x-2x^2

x=-1/4, x=8

Completing the square

100

Solve

x^2-8x+16=1

 by completing the square.

x=3, x=5

200

Solve

x^2-20x+19=0

  by completing the square.

x=1, x=19

300

Solve

x^2+4x-14=0

  by completing the square.

x=-2+3sqrt2, x=-2-3sqrt2

400

Solve

x^2-6x-3=0

  by completing the square.

x=3+2sqrt3 , x=3-2sqrt3

500

Solve

4x^2+16x=65

 by completing the square.

x=5/2, x=-13/2

Quadratic formula

100

Is this the quadratic formula?

x=(-bpmsqrt(b^2-4ac))/2

No!! The denominator should be 

2a

200

Solve

6x^2+12x=90

 using the quadratic formula. 

x=-5, x=3

300

Solve

x^2-8x+14=0

 using the quadratic formula. Leave your answer in simplest radical form.

x=4pmsqrt2

400

Solve

x^2+4x-21=0

 by using quadratic formula.

x=3, x=-7

500

Solve

2x^2=7x+6

 by using quadratic formula. Round your answer(s) to the nearest hundredth.

x=4.21, x=-0.71

Solving by taking square roots

100

Solve this equation by taking square roots.

x^2-81=0

x=-9, x=9

200

Solve this equation by taking square roots.

x^2-121=0

x=11, x=-11

300

Solve this equation by taking square roots.

1+x^2=26

x=-5, x=5

400

Solve this equation by taking square roots.

(x-4)^2-16=0

x=0, x=8

500

Solve this equation by taking square roots.

-3(x+1)^2+27=0

x=2, x=-4

Solve by any method

100

x^2+2x-8=0

x=2, x=-4

200

2x^2-x-4=2

x=-3/2 , x=2

300

49x^2-81=0

x=-9/7 , x=9/7

400

-3x^2-15x-18=0

x=-2, x=-3

500

x^2-10x+20=0

x=5pmsqrt5