140/x=2x

Solution for 140/x=2x equation:

140/x=2x

We move all terms to the left:

140/x-(2x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-2x+140/x=0

We multiply all the terms by the denominator


-2x*x+140=0

Wy multiply elements

-2x^2+140=0

a = -2; b = 0; c = +140;
Δ = b2-4ac
Δ = 02-4·(-2)·140
Δ = 1120
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1120}=\sqrt{16*70}=\sqrt{16}*\sqrt{70}=4\sqrt{70}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{70}}{2*-2}=\frac{0-4\sqrt{70}}{-4}
=-\frac{4\sqrt{70}}{-4}
=-\frac{\sqrt{70}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{70}}{2*-2}=\frac{0+4\sqrt{70}}{-4}
=\frac{4\sqrt{70}}{-4}
=\frac{\sqrt{70}}{-1}
$