1.75/x=x

Solution for 1.75/x=x equation:

1.75/x=x

We move all terms to the left:

1.75/x-(x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-1x+1.75/x=0

We multiply all the terms by the denominator


-1x*x+1.75=0

Wy multiply elements

-1x^2+1.75=0

a = -1; b = 0; c = +1.75;
Δ = b2-4ac
Δ = 02-4·(-1)·1.75
Δ = 7
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{-(0)-\sqrt{7}}{2*-1}=\frac{0-\sqrt{7}}{-2}
=-\frac{\sqrt{}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{7}}{2*-1}=\frac{0+\sqrt{7}}{-2}
=\frac{\sqrt{}}{-2}
$