4/7x+x=121

Solution for 4/7x+x=121 equation:

4/7x+x=121

We move all terms to the left:

4/7x+x-(121)=0


Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R


We add all the numbers together, and all the variables

x+4/7x-121=0

We multiply all the terms by the denominator


x*7x-121*7x+4=0

Wy multiply elements

7x^2-847x+4=0

a = 7; b = -847; c = +4;
Δ = b2-4ac
Δ = -8472-4·7·4
Δ = 717297
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{-(-847)-\sqrt{717297}}{2*7}=\frac{847-\sqrt{717297}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-847)+\sqrt{717297}}{2*7}=\frac{847+\sqrt{717297}}{14}
$