y(2)=3*y(2-1)-2*4(2-2)+5

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Solution for y(2)=3*y(2-1)-2*4(2-2)+5 equation: 



y(2)=3y(2-1)-2*4(2-2)+5

We move all terms to the left:

y(2)-(3y(2-1)-2*4(2-2)+5)=0

We add all the numbers together, and all the variables

y2-(3y1-2*40+5)=0

We add all the numbers together, and all the variables

y^2-(3y1-2*40+5)=0

We get rid of parentheses

y^2-3y1-5+2*40=0

We add all the numbers together, and all the variables

y^2-3y+75=0

a = 1; b = -3; c = +75;
Δ = b2-4ac
Δ = -32-4·1·75
Δ = -291
Delta is less than zero, so there is no solution for the equation

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