/x+0.26x=140

Solution for /x+0.26x=140 equation:

/x+0.26x=140

We move all terms to the left:

/x+0.26x-(140)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

0.26x+/x-140=0

We multiply all the terms by the denominator


(0.26x)*x-140*x+=0

We add all the numbers together, and all the variables

(+0.26x)*x-140*x+=0

We add all the numbers together, and all the variables

-140x+(+0.26x)*x=0

We multiply parentheses

0x^2-140x=0

We add all the numbers together, and all the variables

x^2-140x=0

a = 1; b = -140; c = 0;
Δ = b2-4ac
Δ = -1402-4·1·0
Δ = 19600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{19600}=140$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-140)-140}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-140)+140}{2*1}=\frac{280}{2}
=140
$