23674/b=38b=

Solution for 23674/b=38b= equation:

23674/b=38b=

We move all terms to the left:

23674/b-(38b)=0


Domain of the equation: b!=0

b∈R


We add all the numbers together, and all the variables

-38b+23674/b=0

We multiply all the terms by the denominator


-38b*b+23674=0

Wy multiply elements

-38b^2+23674=0

a = -38; b = 0; c = +23674;
Δ = b2-4ac
Δ = 02-4·(-38)·23674
Δ = 3598448
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:

$\sqrt{\Delta}=\sqrt{3598448}=\sqrt{5776*623}=\sqrt{5776}*\sqrt{623}=76\sqrt{623}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-76\sqrt{623}}{2*-38}=\frac{0-76\sqrt{623}}{-76}
=-\frac{76\sqrt{623}}{-76}
=-\frac{\sqrt{623}}{-1}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+76\sqrt{623}}{2*-38}=\frac{0+76\sqrt{623}}{-76}
=\frac{76\sqrt{623}}{-76}
=\frac{\sqrt{623}}{-1}
$