x*x-1*x+1*x+2=540

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Solution for x*x-1*x+1*x+2=540 equation:



x*x-1x+1x+2=540
We move all terms to the left:
x*x-1x+1x+2-(540)=0
We add all the numbers together, and all the variables
x*x-538=0
Wy multiply elements
x^2-538=0
a = 1; b = 0; c = -538;
Δ = b2-4ac
Δ = 02-4·1·(-538)
Δ = 2152
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:
$\sqrt{\Delta}=\sqrt{2152}=\sqrt{4*538}=\sqrt{4}*\sqrt{538}=2\sqrt{538}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{538}}{2*1}=\frac{0-2\sqrt{538}}{2} =-\frac{2\sqrt{538}}{2} =-\sqrt{538} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{538}}{2*1}=\frac{0+2\sqrt{538}}{2} =\frac{2\sqrt{538}}{2} =\sqrt{538} $

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