7x^2+14x-336=0

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Solution for 7x^2+14x-336=0 equation:



7x^2+14x-336=0
a = 7; b = 14; c = -336;
Δ = b2-4ac
Δ = 142-4·7·(-336)
Δ = 9604
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9604}=98$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-98}{2*7}=\frac{-112}{14} =-8 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+98}{2*7}=\frac{84}{14} =6 $

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