Quadratics

Quadratic Formula

100

2x²-3x-5=0

x= 5/2, -1

200

4x²+8x+3=0

x=-1/2, -3/2

300

2x²-3x-15=5

x=4, -5/2

400

8x²+4x-16=-x²

(-2-2sqrt37)/9

(-2+2sqrt37)/9

500

2x²-7x-13=-10

(7-sqrt73)/4

(7+sqrt73)/4

Solve With Square Roots

100

x²=36

x=-6, 6

200

x²+7=23

x=4, -4

300

5x²=80

x=4, -4

400

x²-5=73

x=8.831, -8.831

500

7x²+1=29

x=2, -2

Solve Using Any Method

100

(x-2)(2x+3)=0

x=2, -3/2

200

x²+3x-18=0

x=3, -6

300

9x²+10=91

x=3, -3

400

6x²-18x-18=6

x=4, -1

500

3x²-16x-7=5

x=-2/3, 6

Vertex, AOS, Max/Min

100

x²-2x-3

vertex: (1,-4)

AOS: x=1

min

200

-x²+8x-20

vertex: (4,-4)

AOS: x=4

max

300

-1/4x^2+7

vertex: (0,7)

AOS: x=0

max

400

-2x²-20x-46

vertex: (-5, 4)

AOS: x=-5

max

500

1/4x^2-x-9

vertex: (2,-10)

AOS: x=2

min

Random

100

(4x+5)(x+1)=0

x=-5/4, -1

200

x²+7x+15=5

x=-5, -2

300

Simplify 

sqrt252

6sqrt7

400

-4x²=64

no solution 

500

Simplify 

sqrt(405x^2y^3)

9xysqrt(5y)