64x-3x^2=0

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Solution for 64x-3x^2=0 equation:



64x-3x^2=0
a = -3; b = 64; c = 0;
Δ = b2-4ac
Δ = 642-4·(-3)·0
Δ = 4096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4096}=64$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(64)-64}{2*-3}=\frac{-128}{-6} =21+1/3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(64)+64}{2*-3}=\frac{0}{-6} =0 $

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