250x*0,997^x-55x=0

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Solution for 250x*0,997^x-55x=0 equation:



250x*0.997^x-55x=0
We add all the numbers together, and all the variables
-55x+250x*0.997^x=0
Wy multiply elements
0x^2-55x=0
We add all the numbers together, and all the variables
x^2-55x=0
a = 1; b = -55; c = 0;
Δ = b2-4ac
Δ = -552-4·1·0
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-55)-55}{2*1}=\frac{0}{2} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-55)+55}{2*1}=\frac{110}{2} =55 $

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