Question

If b and c are odd integers, then the equation x² + bx + c = 0 has ______.

Options

• two odd roots

• two integer roots, one odd and one even

• no integer roots

• two even roots

Answer 1

If b and c are odd integers, then the equation x² + bx + c = 0 has no integer roots.

Explanation:

x² + bx + c = 0

⇒ D = b² – 4c

x = `(-b +- sqrt(b^2 - 4c))/2`

x = `(-b)/2 ± sqrt(b^2 - 4c)/2`

non integer roots