Solving Quadratics

Solving trinomials when a=1

100

Solve: x²+10x+25=0

x=-5

200

Solve: x²-12x+27=0

x=9, 3

300

Solve: x²+2x=24

x= -6, 4

400

Solve: x²+6=5x

x= 2, 3

500

Solve: y²=-7y+18

x=2, 9

Solving trinomials when a>1

100

Solve 2x²-7x+6=0

x= 2, 3/2

200

Solve 9x²+6x+1=0

x=-1/3

300

Solve: 2x²-x-6=0

x=2, -3/2

400

Solve: 4y²+12y=-9

y=-3/2

500

Solve: 2x²-3=5x

x=3, -1/2

Solving using the GCF

100

Solve: 3x²-12x=0

x=0, 4

200

Solve: 14x²-7x=0

x= 0, 1/2

300

Solve: 2y²=6y

y= 0, 3

400

Solve: p=4p²

p=0, -1/4

500

10²x²-10x=0

x=0, 1/10

Square root method

100

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

x = 2 x = -2

200

Solve the following quadratic equation by using square roots: x² = 121

x= +11 or -11

300

Solve the following quadratic equation by using square roots: 4x² = 400

x = 10 x = -10

400

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

x= 1 or -1

500

Solve the following quadratic equation by using square roots: 5x² + 3 = 128

x = 5 x = -5

Solving difference of two perfect squares

100

Solve: (x+2)(x-2)=0

x= 2, -2

200

Solve: 9-x²=0

x= 3, -3

300

y²=16

y= 4, -4

400

4x²-3=1

x= 1, -1

500

Solve: 4k²-100=0

x=5, -5