14v^2+56v-24=0

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Solution for 14v^2+56v-24=0 equation:



14v^2+56v-24=0
a = 14; b = 56; c = -24;
Δ = b2-4ac
Δ = 562-4·14·(-24)
Δ = 4480
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{4480}=\sqrt{64*70}=\sqrt{64}*\sqrt{70}=8\sqrt{70}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(56)-8\sqrt{70}}{2*14}=\frac{-56-8\sqrt{70}}{28} $
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(56)+8\sqrt{70}}{2*14}=\frac{-56+8\sqrt{70}}{28} $

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