25/1u=u=25

Solution for 25/1u=u=25 equation:

25/1u=u=25

We move all terms to the left:

25/1u-(u)=0


Domain of the equation: 1u!=0

u∈R


We add all the numbers together, and all the variables

-1u+25/1u=0

We multiply all the terms by the denominator


-1u*1u+25=0

Wy multiply elements

-1u^2+25=0

a = -1; b = 0; c = +25;
Δ = b2-4ac
Δ = 02-4·(-1)·25
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10}{2*-1}=\frac{-10}{-2}
=+5
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10}{2*-1}=\frac{10}{-2}
=-5
$