What is the number of real solutions 12x^2-11x=11

12x² - 11x = 11

Can be rearranged to

12x² - 11x - 11 = 0

Where

a = 12

b = - 11

c = - 11

To find the discriminant, we do

b² - 4ac

Therefore, the discriminant is 649, which is greater than 0

Therefore the equation has two real irrational solutions.