v^2+5v-30=0

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Solution for v^2+5v-30=0 equation:



v^2+5v-30=0
a = 1; b = 5; c = -30;
Δ = b2-4ac
Δ = 52-4·1·(-30)
Δ = 145
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{145}}{2*1}=\frac{-5-\sqrt{145}}{2} $
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{145}}{2*1}=\frac{-5+\sqrt{145}}{2} $

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