3.61^2+x^2=7^2

Solution for 3.61^2+x^2=7^2 equation:

3.61^2+x^2=7^2

We move all terms to the left:

3.61^2+x^2-(7^2)=0

We add all the numbers together, and all the variables

x^2-35.9679=0

a = 1; b = 0; c = -35.9679;
Δ = b2-4ac
Δ = 02-4·1·(-35.9679)
Δ = 143.8716
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{143.8716}}{2*1}=\frac{0-\sqrt{143.8716}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{143.8716}}{2*1}=\frac{0+\sqrt{143.8716}}{2}
=\frac{\sqrt{}}{2}
$