Consider the equation y^2-12y=c, where c is a real constant.

Question

Assuming this equation has two distinct solutions y_1 and y_2, in terms of c, determine y_1y_2.

i tried 12 and 0 they were both wrong,i have no idea what else to try

Answer 1

recall that the product of the roots of

ay^2+by+c=0

is c/a. Here, a is 1, so y1*y2 = -c

clearly, 12 and 0 only work if c=0.
suppose c is -36. The roots are 6 and 6.