4x2+12x+2=0

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Solution for 4x2+12x+2=0 equation:



4x^2+12x+2=0
a = 4; b = 12; c = +2;
Δ = b2-4ac
Δ = 122-4·4·2
Δ = 112
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:
$\sqrt{\Delta}=\sqrt{112}=\sqrt{16*7}=\sqrt{16}*\sqrt{7}=4\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-4\sqrt{7}}{2*4}=\frac{-12-4\sqrt{7}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+4\sqrt{7}}{2*4}=\frac{-12+4\sqrt{7}}{8} $

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