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4363x^2+4=4363.
We move all terms to the left:
4363x^2+4-(4363.)=0
We add all the numbers together, and all the variables
4363x^2+4-4363=0
We add all the numbers together, and all the variables
4363x^2-4359=0
a = 4363; b = 0; c = -4359;
Δ = b2-4ac
Δ = 02-4·4363·(-4359)
Δ = 76073268
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{76073268}=\sqrt{4*19018317}=\sqrt{4}*\sqrt{19018317}=2\sqrt{19018317}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{19018317}}{2*4363}=\frac{0-2\sqrt{19018317}}{8726} =-\frac{2\sqrt{19018317}}{8726} =-\frac{\sqrt{19018317}}{4363} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{19018317}}{2*4363}=\frac{0+2\sqrt{19018317}}{8726} =\frac{2\sqrt{19018317}}{8726} =\frac{\sqrt{19018317}}{4363} $
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