13/8 word prob

Question

Use the discriminant to find the number and kind of solutions for the following equation. Answer "0" if there are no solutions of that kind.

144x2-64=0

Answer 1

x² = 64/144 so x = ±8/12 = ± 2/3.  These two zeros are rational numbers.  The discriminant (which isn't very necessary in the solution that I present here) is = -4ac = -(144)(-64) which is a positive Real perfect square and naturally that signifies that there are two Real (rational) zeros.