1.

Is the following statement ‘True’ or ‘False’?Justify your answer.If the coefficient of x2 and the constant term of a quadratic equation have opposite signs, then the quadratic equation has real roots.

Answer»

True, because in this case discriminant is always positive.

For example, in ax2+ bx + c = 0, as a and c have opposite sign, ac < 0

⟹ Discriminant = b2 – 4ac > 0.



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