x2+1=1.414213562

Solution for x2+1=1.414213562 equation:

x2+1=1.414213562

We move all terms to the left:

x2+1-(1.414213562)=0

We add all the numbers together, and all the variables

x^2-0.414213562=0

a = 1; b = 0; c = -0.414213562;
Δ = b2-4ac
Δ = 02-4·1·(-0.414213562)
Δ = 1.656854248
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{1.656854248}}{2*1}=\frac{0-\sqrt{1.656854248}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1.656854248}}{2*1}=\frac{0+\sqrt{1.656854248}}{2}
=\frac{\sqrt{}}{2}
$