1210/r^2=1000

Solution for 1210/r^2=1000 equation:

1210/r^2=1000

We move all terms to the left:

1210/r^2-(1000)=0


Domain of the equation: r^2!=0

r^2!=0/

r^2!=√0

r!=0

r∈R


We multiply all the terms by the denominator


-1000*r^2+1210=0

We add all the numbers together, and all the variables

-1000r^2+1210=0

a = -1000; b = 0; c = +1210;
Δ = b2-4ac
Δ = 02-4·(-1000)·1210
Δ = 4840000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4840000}=2200$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2200}{2*-1000}=\frac{-2200}{-2000}
=1+1/10
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2200}{2*-1000}=\frac{2200}{-2000}
=-1+1/10
$