(5.2)^2+(x)^2=(7.3)^2

Solution for (5.2)^2+(x)^2=(7.3)^2 equation:

(5.2)^2+(x)^2=(7.3)^2

We move all terms to the left:

(5.2)^2+(x)^2-((7.3)^2)=0

We add all the numbers together, and all the variables

x^2-26.25=0

a = 1; b = 0; c = -26.25;
Δ = b2-4ac
Δ = 02-4·1·(-26.25)
Δ = 105
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{105}}{2*1}=\frac{0-\sqrt{105}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{105}}{2*1}=\frac{0+\sqrt{105}}{2}
=\frac{\sqrt{}}{2}
$