2/x+1.5=15x

Solution for 2/x+1.5=15x equation:

2/x+1.5=15x

We move all terms to the left:

2/x+1.5-(15x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-15x+2/x+1.5=0

We multiply all the terms by the denominator


-15x*x+(1.5)*x+2=0

We multiply parentheses

-15x*x+1.5x+2=0

Wy multiply elements

-15x^2+1.5x+2=0

a = -15; b = 1.5; c = +2;
Δ = b2-4ac
Δ = 1.52-4·(-15)·2
Δ = 122.25
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{-(1.5)-\sqrt{122.25}}{2*-15}=\frac{-1.5-\sqrt{122.25}}{-30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.5)+\sqrt{122.25}}{2*-15}=\frac{-1.5+\sqrt{122.25}}{-30}
$