y^2-11y-4.25=0

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Solution for y^2-11y-4.25=0 equation:



y^2-11y-4.25=0
a = 1; b = -11; c = -4.25;
Δ = b2-4ac
Δ = -112-4·1·(-4.25)
Δ = 138
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{-(-11)-\sqrt{138}}{2*1}=\frac{11-\sqrt{138}}{2} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{138}}{2*1}=\frac{11+\sqrt{138}}{2} $

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