X2-30x-175=0

Solution for X2-30x-175=0 equation:

X2-30X-175=0

We add all the numbers together, and all the variables

X^2-30X-175=0

a = 1; b = -30; c = -175;
Δ = b2-4ac
Δ = -302-4·1·(-175)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-40}{2*1}=\frac{-10}{2}
=-5
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+40}{2*1}=\frac{70}{2}
=35
$