Non-Linear Equations

Solve by graphing

100

y=x²+5x+6

y=2x+6

(-3,0)

(0,6) 

200

y=3x+2

x²+y=2

(0,2)(-3,-7)

300

y=x²-x-30

y=x²-3x-40

(-5,0)

400

x²+y=0

x³-2x-y=0

(0,0)(-2,-4)(1,-1)

500

x²+y=0

x²-2x-y=0

(0,0)(-1,-1)

Solve by elimination

100

-x²+2y=3

x²+4y=9

(-1,2) (1,2)

200

x²-2y=1

x²+5y=29

(-3,4) (3,4)

300

x²-y²=1

2x²-y²=x+3

(-1,0)(2,-√3)(2,√3)

400

2x²-y=16

3x²-3=y

No solution

500

3x²-y=2

x²+4y=8

(-4√13/13,22/13)(4√13/13,22/13)

Solve by substitution

100

-x²+y=3

-3+y=x²

(x,3+x²)

200

y=x²

y=x+12

(-3,9)(4,16)

300

x²+y²=8

x+y=0

(2,-2)(-2,2)

400

y=3x²+2

-2-3x²=-y

(x,3x²+2)

500

x+y²=0

2x+5y²=75

(-25,-5)(-25,5)

Solve however

100

y=x² - 70

y=-x²+2

x=6

y=-34

(6,-34)

200

y=x²+1/2

y=-x²+8.5

y=4.5

x=2

(2,4.5)(-2,4.5)

300

y=1/2x+6

2y-x-12=0

(x,1/2x+6)

400

y+x²=2592

y=x²+0

(36,1296)

500

1/2y-2x²=-8

1/2y+2x²=8

(4,-48)