X^2-30x-98=0

Solution for X^2-30x-98=0 equation:

X^2-30X-98=0

a = 1; b = -30; c = -98;
Δ = b2-4ac
Δ = -302-4·1·(-98)
Δ = 1292
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:

$\sqrt{\Delta}=\sqrt{1292}=\sqrt{4*323}=\sqrt{4}*\sqrt{323}=2\sqrt{323}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-2\sqrt{323}}{2*1}=\frac{30-2\sqrt{323}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+2\sqrt{323}}{2*1}=\frac{30+2\sqrt{323}}{2}
$