Let's solve your equation step-by-step.
x^2−5x−12=0
For this equation: a=1, b=-5, c=-12
1x^2+(−5x)+(−12)=0
Step 1: Use quadratic formula with a=1, b=-5, c=-12.
x=−b±√b^2−4ac / 2a
x= −(−5)±√(−5)2−4(1)(−12) / 2(1)
x= 5±√73 / 2
so,
x=5/2+ 1/2 √73
or
x= 5/2 + (−1)/2 √73
the / symbol means that it is a fraction.