16.5^2=9.2^2+x^2

Solution for 16.5^2=9.2^2+x^2 equation:

16.5^2=9.2^2+x^2

We move all terms to the left:

16.5^2-(9.2^2+x^2)=0

We add all the numbers together, and all the variables

-(9.2^2+x^2)+272.25=0

We get rid of parentheses

-x^2+272.25-9.2^2=0

We add all the numbers together, and all the variables

-1x^2+187.61=0

a = -1; b = 0; c = +187.61;
Δ = b2-4ac
Δ = 02-4·(-1)·187.61
Δ = 750.44
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{750.44}}{2*-1}=\frac{0-\sqrt{750.44}}{-2}
=-\frac{\sqrt{}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{750.44}}{2*-1}=\frac{0+\sqrt{750.44}}{-2}
=\frac{\sqrt{}}{-2}
$