X^2-5x-225=0

Solution for X^2-5x-225=0 equation:

X^2-5X-225=0

a = 1; b = -5; c = -225;
Δ = b2-4ac
Δ = -52-4·1·(-225)
Δ = 925
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:

$\sqrt{\Delta}=\sqrt{925}=\sqrt{25*37}=\sqrt{25}*\sqrt{37}=5\sqrt{37}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-5\sqrt{37}}{2*1}=\frac{5-5\sqrt{37}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+5\sqrt{37}}{2*1}=\frac{5+5\sqrt{37}}{2}
$