m2-11m-900=0

Solution for m2-11m-900=0 equation:

m2-11m-900=0

We add all the numbers together, and all the variables

m^2-11m-900=0

a = 1; b = -11; c = -900;
Δ = b2-4ac
Δ = -112-4·1·(-900)
Δ = 3721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3721}=61$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-61}{2*1}=\frac{-50}{2}
=-25
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+61}{2*1}=\frac{72}{2}
=36
$