7/x-28x=0

Solution for 7/x-28x=0 equation:

7/x-28x=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-28x+7/x=0

We multiply all the terms by the denominator


-28x*x+7=0

Wy multiply elements

-28x^2+7=0

a = -28; b = 0; c = +7;
Δ = b2-4ac
Δ = 02-4·(-28)·7
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28}{2*-28}=\frac{-28}{-56}
=1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28}{2*-28}=\frac{28}{-56}
=-1/2
$