10000=1x*3x

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Solution for 10000=1x*3x equation:



10000=1x*3x
We move all terms to the left:
10000-(1x*3x)=0
We add all the numbers together, and all the variables
-(+1x*3x)+10000=0
We get rid of parentheses
-1x*3x+10000=0
Wy multiply elements
-3x^2+10000=0
a = -3; b = 0; c = +10000;
Δ = b2-4ac
Δ = 02-4·(-3)·10000
Δ = 120000
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:
$\sqrt{\Delta}=\sqrt{120000}=\sqrt{40000*3}=\sqrt{40000}*\sqrt{3}=200\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200\sqrt{3}}{2*-3}=\frac{0-200\sqrt{3}}{-6} =-\frac{200\sqrt{3}}{-6} =-\frac{100\sqrt{3}}{-3} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200\sqrt{3}}{2*-3}=\frac{0+200\sqrt{3}}{-6} =\frac{200\sqrt{3}}{-6} =\frac{100\sqrt{3}}{-3} $

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