x*x*6=1.5

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Solution for x*x*6=1.5 equation:



x*x*6=1.5
We move all terms to the left:
x*x*6-(1.5)=0
We add all the numbers together, and all the variables
x*x*6-1.5=0
Wy multiply elements
6x^2*6-1.5=0
Wy multiply elements
36x^2-1.5=0
a = 36; b = 0; c = -1.5;
Δ = b2-4ac
Δ = 02-4·36·(-1.5)
Δ = 216
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:
$\sqrt{\Delta}=\sqrt{216}=\sqrt{36*6}=\sqrt{36}*\sqrt{6}=6\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{6}}{2*36}=\frac{0-6\sqrt{6}}{72} =-\frac{6\sqrt{6}}{72} =-\frac{\sqrt{6}}{12} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{6}}{2*36}=\frac{0+6\sqrt{6}}{72} =\frac{6\sqrt{6}}{72} =\frac{\sqrt{6}}{12} $

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