24=12x2

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Solution for 24=12x2 equation:



24=12x^2
We move all terms to the left:
24-(12x^2)=0
a = -12; b = 0; c = +24;
Δ = b2-4ac
Δ = 02-4·(-12)·24
Δ = 1152
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:
$\sqrt{\Delta}=\sqrt{1152}=\sqrt{576*2}=\sqrt{576}*\sqrt{2}=24\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{2}}{2*-12}=\frac{0-24\sqrt{2}}{-24} =-\frac{24\sqrt{2}}{-24} =-\frac{\sqrt{2}}{-1} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{2}}{2*-12}=\frac{0+24\sqrt{2}}{-24} =\frac{24\sqrt{2}}{-24} =\frac{\sqrt{2}}{-1} $

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