112=y^2-y

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Solution for 112=y^2-y equation:



112=y^2-y
We move all terms to the left:
112-(y^2-y)=0
We get rid of parentheses
-y^2+y+112=0
We add all the numbers together, and all the variables
-1y^2+y+112=0
a = -1; b = 1; c = +112;
Δ = b2-4ac
Δ = 12-4·(-1)·112
Δ = 449
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{449}}{2*-1}=\frac{-1-\sqrt{449}}{-2} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{449}}{2*-1}=\frac{-1+\sqrt{449}}{-2} $

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