The equation 15r2+4r3=0\displaystyle {15}{r}^{{2}}+{4}{r}-{3}={0} has solutions of the form

r=N±DM\displaystyle {r}=\frac{{{N}\pm\sqrt{{{D}}}}}{{M}}


(A) Use the quadratic formula to solve this equation and find the appropriate integer values of N\displaystyle {N},M\displaystyle {M},and D\displaystyle {D}. Do not worry about simplifying the D\displaystyle \sqrt{{{D}}} yet in this part of the problem.
N=\displaystyle {N}= ; D=\displaystyle {D}=
M=\displaystyle {M}=


(B) Now simplify the radical and the resulting solutions. Enter your answers as a list of integers or reduced fractions, separated with commas. Example: -5/2,-3/4
r=\displaystyle {r}=