Question

Find the value of

m so that equation x^2+5mx+16=0

has no real roots.

Answer 1

Answer:

If the equation x^(2)+5kx+16=0 has no real roots then. For no real roots, we must have b2-4ac<0. ∴ (25k2-4×16)<0⇒25k2<64⇒k2<6425⇒-85<k<85