X+(1/7)x=19

Solution for X+(1/7)x=19 equation:

X+(1/7)X=19

We move all terms to the left:

X+(1/7)X-(19)=0


Domain of the equation: 7)X!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X+(+1/7)X-19=0

We multiply parentheses

X^2+X-19=0

a = 1; b = 1; c = -19;
Δ = b2-4ac
Δ = 12-4·1·(-19)
Δ = 77
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{-(1)-\sqrt{77}}{2*1}=\frac{-1-\sqrt{77}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{77}}{2*1}=\frac{-1+\sqrt{77}}{2}
$