Check whether the following statement is true of false. Justify your answer.
"Every quadratic equation has at least one real root".

True

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False

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Solution

The correct option is B False
The given statement is false.
When the Discriminant of a quadratic equation is negative then both of its roots will be imaginary.
For example, $x^{2} + 4 = 0$ has no real roots.

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Similar questions

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

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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