X^2-3x=182

Solution for X^2-3x=182 equation:

X^2-3X=182

We move all terms to the left:

X^2-3X-(182)=0

a = 1; b = -3; c = -182;
Δ = b2-4ac
Δ = -32-4·1·(-182)
Δ = 737
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-\sqrt{737}}{2*1}=\frac{3-\sqrt{737}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{737}}{2*1}=\frac{3+\sqrt{737}}{2}
$