X^2-73x+144=0

Solution for X^2-73x+144=0 equation:

X^2-73X+144=0

a = 1; b = -73; c = +144;
Δ = b2-4ac
Δ = -732-4·1·144
Δ = 4753
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:

$\sqrt{\Delta}=\sqrt{4753}=\sqrt{49*97}=\sqrt{49}*\sqrt{97}=7\sqrt{97}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-73)-7\sqrt{97}}{2*1}=\frac{73-7\sqrt{97}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73)+7\sqrt{97}}{2*1}=\frac{73+7\sqrt{97}}{2}
$