6x2-10x-4=0

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Solution for 6x2-10x-4=0 equation:



6x^2-10x-4=0
a = 6; b = -10; c = -4;
Δ = b2-4ac
Δ = -102-4·6·(-4)
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-14}{2*6}=\frac{-4}{12} =-1/3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+14}{2*6}=\frac{24}{12} =2 $

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