-16x^2-4x+2=0

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Solution for -16x^2-4x+2=0 equation:



-16x^2-4x+2=0
a = -16; b = -4; c = +2;
Δ = b2-4ac
Δ = -42-4·(-16)·2
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-12}{2*-16}=\frac{-8}{-32} =1/4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+12}{2*-16}=\frac{16}{-32} =-1/2 $

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