x*3x=28

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Solution for x*3x=28 equation:



x*3x=28
We move all terms to the left:
x*3x-(28)=0
Wy multiply elements
3x^2-28=0
a = 3; b = 0; c = -28;
Δ = b2-4ac
Δ = 02-4·3·(-28)
Δ = 336
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:
$\sqrt{\Delta}=\sqrt{336}=\sqrt{16*21}=\sqrt{16}*\sqrt{21}=4\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{21}}{2*3}=\frac{0-4\sqrt{21}}{6} =-\frac{4\sqrt{21}}{6} =-\frac{2\sqrt{21}}{3} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{21}}{2*3}=\frac{0+4\sqrt{21}}{6} =\frac{4\sqrt{21}}{6} =\frac{2\sqrt{21}}{3} $

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