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

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

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

Question 2 (v)
Write whether the given statement is true or false. Justify your answer.
If the coefficient of $x^{2}$ and the constant term of a quadratic equation have opposite signs, then the quadratic equation has real roots.

Question 2 (vi)
Write whether the given statement is true or false. Justify your answer.
If the coefficient of $x^{2}$ and the constant term have the same sign and if the coefficient of x term is zero, then the quadratic equation has no real roots.

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Nature of Roots

Standard X Mathematics

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

True, because every quadratic polynomial has at most two roots.

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