X*3x=320

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Solution for X*3x=320 equation:



X*3X=320
We move all terms to the left:
X*3X-(320)=0
Wy multiply elements
3X^2-320=0
a = 3; b = 0; c = -320;
Δ = b2-4ac
Δ = 02-4·3·(-320)
Δ = 3840
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:
$\sqrt{\Delta}=\sqrt{3840}=\sqrt{256*15}=\sqrt{256}*\sqrt{15}=16\sqrt{15}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{15}}{2*3}=\frac{0-16\sqrt{15}}{6} =-\frac{16\sqrt{15}}{6} =-\frac{8\sqrt{15}}{3} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{15}}{2*3}=\frac{0+16\sqrt{15}}{6} =\frac{16\sqrt{15}}{6} =\frac{8\sqrt{15}}{3} $

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