Solving Quadratics

Quadratic Formula

100

m² − 5m− 14= 0

{7, −2}

200

2x² − 3x− 5= 0

{5/2, −1}

300

r²+8r=-7

{-7, 1}

400

2x²−36=x

{9/2,−4}

500

2x²-3x-20=0

5/2 and -4

Quadratic Formula

100

2x²-3x-2=0

{-1/2, 2}

200

2y²-6y-8=0

{-1, 4}

300

n²-6n-1=0

3 plus/minus sqrt(10)

400

-2x²+8x+5=0

(4 plus/minus sqrt(26))/2

500

j²-6j=13

3 plus/minus sqrt(22)

Completing the Square

100

c²+18c-175=0

{-25, 7}

200

z²-6z=315

{-15, 21}

300

p²+8p+7=0

{-1, -7}

400

x²+9x-39=0

(-11 plus-minus sqrt(185))/2

500

p²+3p-65=0

(-3 plus/minus sqrt(269))/2

Solve by Square Root

100

x²=64

plus/minus 8

200

(y-7)²=0

7

300

3x²=108

plus/minus 6

400

8(x+3)²=56

-3 plus/minus sqrt(7)

500

(y+2)²=12

-2 plus/minus 2sqrt(3)

Solve by Factoring

100

n²+9n+22=4

{-3, -6}

200

x²-49=0

plus/minus 7

300

2b²+b-3=0

{-3/2, 1}

400

4m²-m-8=-5

{-3/4, 1}

500

5n²-6n=-1

{1/5, 1}