X2-30x-1250=0

Solution for X2-30x-1250=0 equation:

X2-30X-1250=0

We add all the numbers together, and all the variables

X^2-30X-1250=0

a = 1; b = -30; c = -1250;
Δ = b2-4ac
Δ = -302-4·1·(-1250)
Δ = 5900
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:

$\sqrt{\Delta}=\sqrt{5900}=\sqrt{100*59}=\sqrt{100}*\sqrt{59}=10\sqrt{59}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-10\sqrt{59}}{2*1}=\frac{30-10\sqrt{59}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+10\sqrt{59}}{2*1}=\frac{30+10\sqrt{59}}{2}
$