2*x*x=576

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Solution for 2*x*x=576 equation:



2x*x=576
We move all terms to the left:
2x*x-(576)=0
Wy multiply elements
2x^2-576=0
a = 2; b = 0; c = -576;
Δ = b2-4ac
Δ = 02-4·2·(-576)
Δ = 4608
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:
$\sqrt{\Delta}=\sqrt{4608}=\sqrt{2304*2}=\sqrt{2304}*\sqrt{2}=48\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{2}}{2*2}=\frac{0-48\sqrt{2}}{4} =-\frac{48\sqrt{2}}{4} =-12\sqrt{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{2}}{2*2}=\frac{0+48\sqrt{2}}{4} =\frac{48\sqrt{2}}{4} =12\sqrt{2} $

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