8.4^2+x^2=14^2

Solution for 8.4^2+x^2=14^2 equation:

8.4^2+x^2=14^2

We move all terms to the left:

8.4^2+x^2-(14^2)=0

We add all the numbers together, and all the variables

x^2-125.44=0

a = 1; b = 0; c = -125.44;
Δ = b2-4ac
Δ = 02-4·1·(-125.44)
Δ = 501.76
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{501.76}}{2*1}=\frac{0-\sqrt{501.76}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{501.76}}{2*1}=\frac{0+\sqrt{501.76}}{2}
=\frac{\sqrt{}}{2}
$