175/x=7x

Solution for 175/x=7x equation:

175/x=7x

We move all terms to the left:

175/x-(7x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-7x+175/x=0

We multiply all the terms by the denominator


-7x*x+175=0

Wy multiply elements

-7x^2+175=0

a = -7; b = 0; c = +175;
Δ = b2-4ac
Δ = 02-4·(-7)·175
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-70}{2*-7}=\frac{-70}{-14}
=+5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+70}{2*-7}=\frac{70}{-14}
=-5
$