2/x-28x=0

Solution for 2/x-28x=0 equation:

2/x-28x=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-28x+2/x=0

We multiply all the terms by the denominator


-28x*x+2=0

Wy multiply elements

-28x^2+2=0

a = -28; b = 0; c = +2;
Δ = b2-4ac
Δ = 02-4·(-28)·2
Δ = 224
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:

$\sqrt{\Delta}=\sqrt{224}=\sqrt{16*14}=\sqrt{16}*\sqrt{14}=4\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{14}}{2*-28}=\frac{0-4\sqrt{14}}{-56}
=-\frac{4\sqrt{14}}{-56}
=-\frac{\sqrt{14}}{-14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{14}}{2*-28}=\frac{0+4\sqrt{14}}{-56}
=\frac{4\sqrt{14}}{-56}
=\frac{\sqrt{14}}{-14}
$