Solving Quadratics

When a=1

100

x² - 10x = -16

x=2 and x=8

200

y²+1=2y

y=1

300

-12a+27=-a²

a=9, a=3

400

v²+10=7v

v=5, v=2

500

-56=-n²+n

n=-7, n=8

When a>1

100

6x²+37x+6=0

x= -6, x= -1/6

200

8x²-2x=3

x=1/2, x=3/4

300

4n²=17n-4

n=4, n=1/4

400

30x²-20= -25x

x=-4/3, x=1/2

500

3x³+24x²+45x=0

x=0, x=-5, x=-3

2 Terms

100

5x²=45

x=3, x=-3

200

2a²=98

a=7, a= -7

300

16r²=25

r= -5/4, r= 5/4

400

-2x³=-50x⁵

x=0, x= -1/5, x= 1/5

500

36x⁴=4x²

x=0, x= -1/3, x=1/3

4 Terms

200

x³-8-4x+2x²=0

x=2, x=-2

300

-2x+3=-2x³+3x²

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

400

3n³-3n=-2n²+2

n= -2/3, n=1, n=-1

500

x³+4x²=25x+100

x= -4, x= 5, x= -5

Mixed

100

n²+6=5n

n=3, n=2

200

3n²=48

n=4, n=-4

300

4b²-25=-15b

b=-5, b=5/4

400

12n²+10n=12

n= -3/2, n=2/3

500

3x²+54=27x

x=3, x=6