X^2-238x-532=0

Solution for X^2-238x-532=0 equation:

X^2-238X-532=0

a = 1; b = -238; c = -532;
Δ = b2-4ac
Δ = -2382-4·1·(-532)
Δ = 58772
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:

$\sqrt{\Delta}=\sqrt{58772}=\sqrt{4*14693}=\sqrt{4}*\sqrt{14693}=2\sqrt{14693}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-238)-2\sqrt{14693}}{2*1}=\frac{238-2\sqrt{14693}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-238)+2\sqrt{14693}}{2*1}=\frac{238+2\sqrt{14693}}{2}
$