What is the largest integer value of m such that the equation 3x^2 - mx + 21 = 0 has no real solutions?
Hint: For b² - 4ac < 0 it has no real solutions,
then a = 3, b = -m and c = 7.
my bad.
so (- m)2 - 4 * 3 * 21 < 0 calculate
m2 - 252 < 0 + 252
m2 < 252 sqrt both sides
m < 15.87... round to the nearest integer (16)
m = 16
16 is the answer.
m < 15.87...
Actually, m = 15 is the largest integer value of m such that the equation 3x^2 - mx + 21 = 0 has no real solutions.