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16813x^2+5=14
We move all terms to the left:
16813x^2+5-(14)=0
We add all the numbers together, and all the variables
16813x^2-9=0
a = 16813; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·16813·(-9)
Δ = 605268
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{605268}=\sqrt{36*16813}=\sqrt{36}*\sqrt{16813}=6\sqrt{16813}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{16813}}{2*16813}=\frac{0-6\sqrt{16813}}{33626} =-\frac{6\sqrt{16813}}{33626} =-\frac{3\sqrt{16813}}{16813} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{16813}}{2*16813}=\frac{0+6\sqrt{16813}}{33626} =\frac{6\sqrt{16813}}{33626} =\frac{3\sqrt{16813}}{16813} $
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