-7-31y+5y^2=0

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Solution for -7-31y+5y^2=0 equation: 



-7-31y+5y^2=0

a = 5; b = -31; c = -7;
Δ = b2-4ac
Δ = -312-4·5·(-7)
Δ = 1101
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{-(-31)-\sqrt{1101}}{2*5}=\frac{31-\sqrt{1101}}{10}
$


$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+\sqrt{1101}}{2*5}=\frac{31+\sqrt{1101}}{10}
$

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