x*x*6=720

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Solution for x*x*6=720 equation:



x*x*6=720
We move all terms to the left:
x*x*6-(720)=0
Wy multiply elements
6x^2*6-720=0
Wy multiply elements
36x^2-720=0
a = 36; b = 0; c = -720;
Δ = b2-4ac
Δ = 02-4·36·(-720)
Δ = 103680
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:
$\sqrt{\Delta}=\sqrt{103680}=\sqrt{20736*5}=\sqrt{20736}*\sqrt{5}=144\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144\sqrt{5}}{2*36}=\frac{0-144\sqrt{5}}{72} =-\frac{144\sqrt{5}}{72} =-2\sqrt{5} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144\sqrt{5}}{2*36}=\frac{0+144\sqrt{5}}{72} =\frac{144\sqrt{5}}{72} =2\sqrt{5} $

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