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Question

For the equation ax2+bx+c=0 which of the following statements is incorrect?
(a) If (b2 − 4ac) < 0, the roots are imaginary.
(b) If (b2 − 4ac) = 0, the roots are real and equal.
(c) If (b2 − 4ac) > 0 and (b2 − 4ac) is a perfect square, then the roots are rational and unequal.
(d) (b2 − 4ac) < 0, the roots are irrational.

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Solution

(d) (b2 − 4ac) < 0, the roots are irrational.

If (b2 ac) < 0, the roots may be rational or irrational.

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