x*x=42.5

Solution for x*x=42.5 equation:

x*x=42.5

We move all terms to the left:

x*x-(42.5)=0

We add all the numbers together, and all the variables

x*x-42.5=0

Wy multiply elements

x^2-42.5=0

a = 1; b = 0; c = -42.5;
Δ = b2-4ac
Δ = 02-4·1·(-42.5)
Δ = 170
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{170}}{2*1}=\frac{0-\sqrt{170}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{170}}{2*1}=\frac{0+\sqrt{170}}{2}
=\frac{\sqrt{}}{2}
$