1000x-3.14x/2x=0

Solution for 1000x-3.14x/2x=0 equation:

1000x-3.14x/2x=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We multiply all the terms by the denominator


1000x*2x-3.14x=0

We add all the numbers together, and all the variables

-3.14x+1000x*2x=0

Wy multiply elements

2000x^2-3.14x=0

a = 2000; b = -3.14; c = 0;
Δ = b2-4ac
Δ = -3.142-4·2000·0
Δ = 9.8596
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{-(-3.14)-\sqrt{9.8596}}{2*2000}=\frac{3.14-\sqrt{9.8596}}{4000}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.14)+\sqrt{9.8596}}{2*2000}=\frac{3.14+\sqrt{9.8596}}{4000}
$