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4x+45793=x2
We move all terms to the left:
4x+45793-(x2)=0
We add all the numbers together, and all the variables
-1x^2+4x+45793=0
a = -1; b = 4; c = +45793;
Δ = b2-4ac
Δ = 42-4·(-1)·45793
Δ = 183188
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{183188}=\sqrt{4*45797}=\sqrt{4}*\sqrt{45797}=2\sqrt{45797}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-2\sqrt{45797}}{2*-1}=\frac{-4-2\sqrt{45797}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+2\sqrt{45797}}{2*-1}=\frac{-4+2\sqrt{45797}}{-2} $
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