4x2+12x-11=0

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Solution for 4x2+12x-11=0 equation:



4x^2+12x-11=0
a = 4; b = 12; c = -11;
Δ = b2-4ac
Δ = 122-4·4·(-11)
Δ = 320
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:
$\sqrt{\Delta}=\sqrt{320}=\sqrt{64*5}=\sqrt{64}*\sqrt{5}=8\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-8\sqrt{5}}{2*4}=\frac{-12-8\sqrt{5}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+8\sqrt{5}}{2*4}=\frac{-12+8\sqrt{5}}{8} $

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