1850x.12=x2/3

Solution for 1850x.12=x2/3 equation:

1850x.12=x2/3

We move all terms to the left:

1850x.12-(x2/3)=0

We add all the numbers together, and all the variables

1850x.12-(+x2/3)=0

We get rid of parentheses

1850x.12-x2/3=0

We multiply all the terms by the denominator


(1850x.12)*3-x2=0

We add all the numbers together, and all the variables

(+1850x.12)*3-x2=0

We add all the numbers together, and all the variables

-1x^2+(+1850x.12)*3=0

We multiply parentheses

-1x^2+5550x=0

a = -1; b = 5550; c = 0;
Δ = b2-4ac
Δ = 55502-4·(-1)·0
Δ = 30802500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{30802500}=5550$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5550)-5550}{2*-1}=\frac{-11100}{-2}
=+5550
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5550)+5550}{2*-1}=\frac{0}{-2}
=0
$