x^2-x+12=0 we need to factor or use quadratic equation. Because of the +12 we cannot factor so use the quadratic equation.
[-b +or- sqrt(b^2 - 4ac)]/2a
a = 1, b = -1, c = 12
[1 +or- sqrt((-1)^2 -4*1*12)] / 2*1
[1 +or- sqrt(1 - 48)] /2
1 +or- sqrt(-47)]/2 no real solutions because of the negative sqrt