6x^2-1944=0

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Solution for 6x^2-1944=0 equation:



6x^2-1944=0
a = 6; b = 0; c = -1944;
Δ = b2-4ac
Δ = 02-4·6·(-1944)
Δ = 46656
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{46656}=216$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-216}{2*6}=\frac{-216}{12} =-18 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+216}{2*6}=\frac{216}{12} =18 $

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