Question

Which of the following is/are always false?

• A. A quadratic equation with rational coefficients has zero or two irrational roots
• B. A quadratic equation with real coefficients has zero or two non-real roots
• C. A quadratic equation with irrational coefficients has zero or two rational roots
• D. A quadratic equation with integer coefficients has zero or two irrational roots

Answer 1

Answer: (C)

If a quadratic equation has irrational coefficients, then roots are also irrational.