6250=2000000/b2

Solution for 6250=2000000/b2 equation:

6250=2000000/b2

We move all terms to the left:

6250-(2000000/b2)=0


Domain of the equation: b2)!=0

b!=0/1

b!=0

b∈R


We add all the numbers together, and all the variables

-(+2000000/b2)+6250=0

We get rid of parentheses

-2000000/b2+6250=0

We multiply all the terms by the denominator


6250*b2-2000000=0

We add all the numbers together, and all the variables

6250b^2-2000000=0

a = 6250; b = 0; c = -2000000;
Δ = b2-4ac
Δ = 02-4·6250·(-2000000)
Δ = 50000000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{50000000000}=\sqrt{10000000000*5}=\sqrt{10000000000}*\sqrt{5}=100000\sqrt{5}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100000\sqrt{5}}{2*6250}=\frac{0-100000\sqrt{5}}{12500}
=-\frac{100000\sqrt{5}}{12500}
=-8\sqrt{5}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100000\sqrt{5}}{2*6250}=\frac{0+100000\sqrt{5}}{12500}
=\frac{100000\sqrt{5}}{12500}
=8\sqrt{5}
$