(19/100)*x=0.9

Solution for (19/100)*x=0.9 equation:

(19/100)*x=0.9

We move all terms to the left:

(19/100)*x-(0.9)=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

(+19/100)*x-(0.9)=0

We add all the numbers together, and all the variables

(+19/100)*x-0.9=0

We multiply parentheses

19x^2-0.9=0

a = 19; b = 0; c = -0.9;
Δ = b2-4ac
Δ = 02-4·19·(-0.9)
Δ = 68.4
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{68.4}}{2*19}=\frac{0-\sqrt{68.4}}{38}
=-\frac{\sqrt{}}{38}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{68.4}}{2*19}=\frac{0+\sqrt{68.4}}{38}
=\frac{\sqrt{}}{38}
$