Solving Quadratics

Solving trinomials when a=1

100

Solve: x²+10x+25=0

x={-5}

200

Solve: x²-12x+27=0

x={3,9}

300

Solve: x²+2x=24

x= {-6, 4}

400

Solve: x²+6=5x

x= {2, 3}

500

Solve: y²=-7y+18

x={-9 , 2}

Solving trinomials when a>1

100

Solve 2x²-7x+6=0

x= {3/2 , 2}

200

Solve 9x²+6x+1=0

x={-1/3}

300

Solve: 2x²-x-6=0

x={-3/2 , 2}

400

Solve: 4y²+12y=-9

y={-3/2}

500

Solve: 2x²-3=5x

x={-1/2 , 3}

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 , 2}

200

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

x= {-11 , 11}

300

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

x = { -10 , 10}

400

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

x={-1 , 1}

500

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

x ={-5 , 5}

Solving difference of two perfect squares

100

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

x={-2 , 2}

200

Solve: x² - 9=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}