Write whether the statement are true or false. Justify your answer.
If the coefficient of x2 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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If the coefficient of x2 and the constant term of a quadratic equation have opposite signs, then the quadratic equation has real roots.
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Every quadratic equations has at most two roots.
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Every quadratic equation has at least two roots.
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Every quadratic equation has at least one real root.
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Every quadratic equation has at least one real root.
Write whether the statement are true or false. Justify your answer.
Every quadratic equation has exactly one root.
(x2 + 1)2 – x2 = 0 has
(A) four real roots (B) two real roots
(C) no real roots (D) one real root.
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