y^2-11y+27=0

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Solution for y^2-11y+27=0 equation: 



y^2-11y+27=0

a = 1; b = -11; c = +27;
Δ = b2-4ac
Δ = -112-4·1·27
Δ = 13
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{13}}{2*1}=\frac{11-\sqrt{13}}{2}
$


$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{13}}{2*1}=\frac{11+\sqrt{13}}{2}
$

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