y^2-7y-22=0

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Solution for y^2-7y-22=0 equation:



y^2-7y-22=0
a = 1; b = -7; c = -22;
Δ = b2-4ac
Δ = -72-4·1·(-22)
Δ = 137
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{-(-7)-\sqrt{137}}{2*1}=\frac{7-\sqrt{137}}{2} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{137}}{2*1}=\frac{7+\sqrt{137}}{2} $

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