-14+13c+c^2=0

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Solution for -14+13c+c^2=0 equation:



-14+13c+c^2=0
a = 1; b = 13; c = -14;
Δ = b2-4ac
Δ = 132-4·1·(-14)
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-15}{2*1}=\frac{-28}{2} =-14 $
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+15}{2*1}=\frac{2}{2} =1 $

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