UPSKILL MATH PLUS

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Write whether the following statements are true or false. Justify your answers.
 
(i) Every quadratic equation has at least one real root.
 
(ii) If the coefficient of \(x^2\) and the constant term of a quadratic equation have opposite signs, then the quadratic equation has real roots.
 
(iii) 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.