2x+(7/X)=87

Solution for 2x+(7/X)=87 equation:

2x+(7/x)=87

We move all terms to the left:

2x+(7/x)-(87)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

2x+(+7/x)-87=0

We get rid of parentheses

2x+7/x-87=0

We multiply all the terms by the denominator


2x*x-87*x+7=0

We add all the numbers together, and all the variables

-87x+2x*x+7=0

Wy multiply elements

2x^2-87x+7=0

a = 2; b = -87; c = +7;
Δ = b2-4ac
Δ = -872-4·2·7
Δ = 7513
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{-(-87)-\sqrt{7513}}{2*2}=\frac{87-\sqrt{7513}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-87)+\sqrt{7513}}{2*2}=\frac{87+\sqrt{7513}}{4}
$