12x^2+12x-477=0

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Solution for 12x^2+12x-477=0 equation:



12x^2+12x-477=0
a = 12; b = 12; c = -477;
Δ = b2-4ac
Δ = 122-4·12·(-477)
Δ = 23040
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{23040}=\sqrt{2304*10}=\sqrt{2304}*\sqrt{10}=48\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-48\sqrt{10}}{2*12}=\frac{-12-48\sqrt{10}}{24} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+48\sqrt{10}}{2*12}=\frac{-12+48\sqrt{10}}{24} $

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