1+x^2=1.58

Solution for 1+x^2=1.58 equation:

1+x^2=1.58

We move all terms to the left:

1+x^2-(1.58)=0

We add all the numbers together, and all the variables

x^2-0.58=0

a = 1; b = 0; c = -0.58;
Δ = b2-4ac
Δ = 02-4·1·(-0.58)
Δ = 2.32
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{2.32}}{2*1}=\frac{0-\sqrt{2.32}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{2.32}}{2*1}=\frac{0+\sqrt{2.32}}{2}
=\frac{\sqrt{}}{2}
$