x=14-49/x

Solution for x=14-49/x equation:

x=14-49/x

We move all terms to the left:

x-(14-49/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x-(-49/x+14)=0

We get rid of parentheses

x+49/x-14=0

We multiply all the terms by the denominator


x*x-14*x+49=0

We add all the numbers together, and all the variables

-14x+x*x+49=0

Wy multiply elements

x^2-14x+49=0

a = 1; b = -14; c = +49;
Δ = b2-4ac
Δ = -142-4·1·49
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{14}{2}=7$