A quadratic equation with integral coefficient has integral roots, justify your answer.

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Solution

Step : Explanation.

Consider the quadratic equation with integral coefficient.
$8 x^{2} - 2 x - 1 = 0$
The roots of the given equation are $\frac{1}{2}$ and $\frac{1}{4}$ which are not integers.
So, quadratic equation with integral coefficient may or may not have integral roots.

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

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.

x^{2}

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