3x*3X+4x*4X=93025

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Solution for 3x*3X+4x*4X=93025 equation:



3x*3x+4x*4x=93025
We move all terms to the left:
3x*3x+4x*4x-(93025)=0
Wy multiply elements
9x^2+16x^2-93025=0
We add all the numbers together, and all the variables
25x^2-93025=0
a = 25; b = 0; c = -93025;
Δ = b2-4ac
Δ = 02-4·25·(-93025)
Δ = 9302500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9302500}=3050$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-3050}{2*25}=\frac{-3050}{50} =-61 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+3050}{2*25}=\frac{3050}{50} =61 $

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