x2-55x-600=0

Solution for x2-55x-600=0 equation:

x2-55x-600=0

We add all the numbers together, and all the variables

x^2-55x-600=0

a = 1; b = -55; c = -600;
Δ = b2-4ac
Δ = -552-4·1·(-600)
Δ = 5425
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{5425}=\sqrt{25*217}=\sqrt{25}*\sqrt{217}=5\sqrt{217}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-55)-5\sqrt{217}}{2*1}=\frac{55-5\sqrt{217}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-55)+5\sqrt{217}}{2*1}=\frac{55+5\sqrt{217}}{2}
$