b^2-100b^2+2304=0

Solution for b^2-100b^2+2304=0 equation:

b^2-100b^2+2304=0

We add all the numbers together, and all the variables

-99b^2+2304=0

a = -99; b = 0; c = +2304;
Δ = b2-4ac
Δ = 02-4·(-99)·2304
Δ = 912384
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:

$\sqrt{\Delta}=\sqrt{912384}=\sqrt{82944*11}=\sqrt{82944}*\sqrt{11}=288\sqrt{11}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-288\sqrt{11}}{2*-99}=\frac{0-288\sqrt{11}}{-198}
=-\frac{288\sqrt{11}}{-198}
=-\frac{16\sqrt{11}}{-11}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+288\sqrt{11}}{2*-99}=\frac{0+288\sqrt{11}}{-198}
=\frac{288\sqrt{11}}{-198}
=\frac{16\sqrt{11}}{-11}
$