(x*3x)/2=486

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Solution for (x*3x)/2=486 equation:



(x*3x)/2=486
We move all terms to the left:
(x*3x)/2-(486)=0
We add all the numbers together, and all the variables
(+x*3x)/2-486=0
We multiply all the terms by the denominator
(+x*3x)-486*2=0
We add all the numbers together, and all the variables
(+x*3x)-972=0
We get rid of parentheses
x*3x-972=0
Wy multiply elements
3x^2-972=0
a = 3; b = 0; c = -972;
Δ = b2-4ac
Δ = 02-4·3·(-972)
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-108}{2*3}=\frac{-108}{6} =-18 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+108}{2*3}=\frac{108}{6} =18 $

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