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Nature of Roots

Question 2 iv...

Question

Question 2 (iv)
Write whether the following statements are true or false. Justify your answers.
Every quadratic equation has at most two roots.

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Solution

True, because every quadratic polynomial has at most two roots

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Similar questions

Q. Question 2 (ii)
Write whether the following statements are true or false. Justify your answers.
Every quadratic equation has at least one real root.

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

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

Q. Check whether the following statement is true of false. Justify your answer.

"Every quadratic equation has at least one real root".

Q. Question 2 (v)
Write whether the following statements are true or false. Justify your answers.
If the coefficient of

x^{2}

and the constant term of a quadratic equation have opposite signs, then the quadratic equation has real roots.

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