(16x)2+(9x)2=13.3*13.3

Solution for (16x)2+(9x)2=13.3*13.3 equation:

(16x)2+(9x)2=13.3*13.3

We move all terms to the left:

(16x)2+(9x)2-(13.3*13.3)=0

We add all the numbers together, and all the variables

16x2+9x2-(176.89)=0

We add all the numbers together, and all the variables

25x^2-176.89=0

a = 25; b = 0; c = -176.89;
Δ = b2-4ac
Δ = 02-4·25·(-176.89)
Δ = 17689
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17689}=133$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-133}{2*25}=\frac{-133}{50}
=-2+33/50
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+133}{2*25}=\frac{133}{50}
=2+33/50
$