(97/100)*x=25

Solution for (97/100)*x=25 equation:

(97/100)*x=25

We move all terms to the left:

(97/100)*x-(25)=0


Domain of the equation: 100)*x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+97/100)*x-25=0

We multiply parentheses

97x^2-25=0

a = 97; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·97·(-25)
Δ = 9700
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:

$\sqrt{\Delta}=\sqrt{9700}=\sqrt{100*97}=\sqrt{100}*\sqrt{97}=10\sqrt{97}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{97}}{2*97}=\frac{0-10\sqrt{97}}{194}
=-\frac{10\sqrt{97}}{194}
=-\frac{5\sqrt{97}}{97}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{97}}{2*97}=\frac{0+10\sqrt{97}}{194}
=\frac{10\sqrt{97}}{194}
=\frac{5\sqrt{97}}{97}
$