x=17x/16x

Solution for x=17x/16x equation:

x=17x/16x

We move all terms to the left:

x-(17x/16x)=0


Domain of the equation: 16x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x-(+17x/16x)=0

We get rid of parentheses

x-17x/16x=0

We multiply all the terms by the denominator


x*16x-17x=0

We add all the numbers together, and all the variables

-17x+x*16x=0

Wy multiply elements

16x^2-17x=0

a = 16; b = -17; c = 0;
Δ = b2-4ac
Δ = -172-4·16·0
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-17}{2*16}=\frac{0}{32}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+17}{2*16}=\frac{34}{32}
=1+1/16
$