w^2+15w-126=0

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Solution for w^2+15w-126=0 equation:



w^2+15w-126=0
a = 1; b = 15; c = -126;
Δ = b2-4ac
Δ = 152-4·1·(-126)
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-27}{2*1}=\frac{-42}{2} =-21 $
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+27}{2*1}=\frac{12}{2} =6 $

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