X*y=68

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Solution for X*y=68 equation:



X*X=68
We move all terms to the left:
X*X-(68)=0
Wy multiply elements
X^2-68=0
a = 1; b = 0; c = -68;
Δ = b2-4ac
Δ = 02-4·1·(-68)
Δ = 272
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:
$\sqrt{\Delta}=\sqrt{272}=\sqrt{16*17}=\sqrt{16}*\sqrt{17}=4\sqrt{17}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{17}}{2*1}=\frac{0-4\sqrt{17}}{2} =-\frac{4\sqrt{17}}{2} =-2\sqrt{17} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{17}}{2*1}=\frac{0+4\sqrt{17}}{2} =\frac{4\sqrt{17}}{2} =2\sqrt{17} $

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