Question 3
Does a quadratic equation with integral coefficient has integral roots. Justify your answer.

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Solution

No, consider the quadratic equation $2 x^{2} + x - 6 = 0$ with integral coefficient. The roots for the given quadratic equation are - 2 and $\frac{3}{2}$ which are not integers.

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Similar questions

Write whether the following statemensst are true or false .Justify your answers :

1.Every quadratic equation has at least one real root

2.If in a quadratic equation of ,the coeffecient of x is zero then the quadratic equation has no real roots .

3.If the coeffecient of x2 and the constant term of the quadratic equation have opposite signs ,then the quadratic equation has real roots .

4.A quadratic equation with integeral coeffecient has integral roots.

Question 4
Does there exist a quadratic equation whose coefficients are rational but both of its roots are irrational? Justify your answer.

Question 2 (iii)
Write whether the given statement is true or false. Justify your answer.
Every quadratic equation has at least two roots.

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