Answer to Question #104198 in Algebra for maria

Question

A biquadratic equation must have at least one real root. Is it true or false? give reasons.

Answer 1

False. Because the first member (ax⁴) is always geater or equal to 0; the second member (bx²) is always greater or equal to 0 too. Besides, If the third member c > 0 (for example, let's take 3), the equation ax⁴+bx²+c>0. This means the equation ax⁴⁺bx²+c=0 doesn’t have any real root.