16x-8=-1/x

Solution for 16x-8=-1/x equation:

16x-8=-1/x

We move all terms to the left:

16x-8-(-1/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We get rid of parentheses

16x+1/x-8=0

We multiply all the terms by the denominator


16x*x-8*x+1=0

We add all the numbers together, and all the variables

-8x+16x*x+1=0

Wy multiply elements

16x^2-8x+1=0

a = 16; b = -8; c = +1;
Δ = b2-4ac
Δ = -82-4·16·1
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{8}{32}=1/4$