X*2x=168

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Solution for X*2x=168 equation:



X*2X=168
We move all terms to the left:
X*2X-(168)=0
Wy multiply elements
2X^2-168=0
a = 2; b = 0; c = -168;
Δ = b2-4ac
Δ = 02-4·2·(-168)
Δ = 1344
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:
$\sqrt{\Delta}=\sqrt{1344}=\sqrt{64*21}=\sqrt{64}*\sqrt{21}=8\sqrt{21}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{21}}{2*2}=\frac{0-8\sqrt{21}}{4} =-\frac{8\sqrt{21}}{4} =-2\sqrt{21} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{21}}{2*2}=\frac{0+8\sqrt{21}}{4} =\frac{8\sqrt{21}}{4} =2\sqrt{21} $

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