10=(1.5/x)X

Solution for 10=(1.5/x)X equation:

10=(1.5/x)x

We move all terms to the left:

10-((1.5/x)x)=0


Domain of the equation: x)x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-((+1.5/x)x)+10=0

We multiply all the terms by the denominator


-((+1.5+10*x)x)=0


We calculate terms in parentheses: -((+1.5+10*x)x), so:

(+1.5+10*x)x

We add all the numbers together, and all the variables

(10x+1.5)x

We multiply parentheses

10x^2+1.5x

Back to the equation:

-(10x^2+1.5x)


We get rid of parentheses

-10x^2-1.5x=0

a = -10; b = -1.5; c = 0;
Δ = b2-4ac
Δ = -1.52-4·(-10)·0
Δ = 2.25
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{2.25}}{2*-10}=\frac{1.5-\sqrt{2.25}}{-20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.5)+\sqrt{2.25}}{2*-10}=\frac{1.5+\sqrt{2.25}}{-20}
$