X^2-3x=172

Solution for X^2-3x=172 equation:

X^2-3X=172

We move all terms to the left:

X^2-3X-(172)=0

a = 1; b = -3; c = -172;
Δ = b2-4ac
Δ = -32-4·1·(-172)
Δ = 697
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{697}}{2*1}=\frac{3-\sqrt{697}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{697}}{2*1}=\frac{3+\sqrt{697}}{2}
$