b2-676b-57600=0

Solution for b2-676b-57600=0 equation:

b2-676b-57600=0

We add all the numbers together, and all the variables

b^2-676b-57600=0

a = 1; b = -676; c = -57600;
Δ = b2-4ac
Δ = -6762-4·1·(-57600)
Δ = 687376
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:

$\sqrt{\Delta}=\sqrt{687376}=\sqrt{16*42961}=\sqrt{16}*\sqrt{42961}=4\sqrt{42961}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-676)-4\sqrt{42961}}{2*1}=\frac{676-4\sqrt{42961}}{2}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-676)+4\sqrt{42961}}{2*1}=\frac{676+4\sqrt{42961}}{2}
$