Solve for x and y

[nycmath]

See attachment. Show your steps.

[Eigenvalue]

1. 2x(2x+3)=40*86

x(2x+3)=1720

2x²+3x-1720=0

x=[tex]\frac{-3 \pm sqrt(9+6880)}{4}[/tex]

x=[tex]\frac{-3 \pm 83 }{4}[/tex]

x=20 or x=-21.5

2. 0.5x(x+3)=100*150

x(x+3)=30000

x²+3x-30000=0

x=[tex]\frac{-3 \pm sqrt(120009)}{2}[/tex]

This can be simplified further,.but the result remains the same

[nycmath]

1. 2x(2x+3)=40*86

x(2x+3)=1720

2x²+3x-1720=0

x=[tex]\frac{-3 \pm sqrt(9+6880)}{4}[/tex]

x=[tex]\frac{-3 \pm 83 }{4}[/tex]

x=20 or x=-21.5

2. 0.5x(x+3)=100*150

x(x+3)=30000

x²+3x-30000=0

x=[tex]\frac{-3 \pm sqrt(120009)}{2}[/tex]

This can be simplified further,.but the result remains the same

Another easy reply to read and study.