(16*x)^2+(9*x)^2=(147^2)

Solution for (16*x)^2+(9*x)^2=(147^2) equation:

(16x)^2+(9x)^2=(147^2)

We move all terms to the left:

(16x)^2+(9x)^2-((147^2))=0

determiningTheFunctionDomain
16x^2+9x^2-147^2=0

We add all the numbers together, and all the variables

25x^2-21609=0

a = 25; b = 0; c = -21609;
Δ = b2-4ac
Δ = 02-4·25·(-21609)
Δ = 2160900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2160900}=1470$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1470}{2*25}=\frac{-1470}{50}
=-29+2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1470}{2*25}=\frac{1470}{50}
=29+2/5
$