Write whether the following statements are true or false. Justify your answers.
(i) Every quadratic equation has exactly one root.
(ii) Every quadratic equation has atleast one real root.
(ii) Every quadratic equation has atleast two roots.
(iv) Every quadratic equations atmost two roots.
(v) If he coefficient of `x^(2)` and the constnat term of a quadratic equation have opposite sigh, then the quadratic equation has real roots.
(vi) 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.

Explanation

To determine whether the given statements about quadratic equations are true or false, let's analyze each statement step by step.

### Step-by-Step Solution:

**(i) Every quadratic equation has exactly one root.**

- **Analysis**: A quadratic equation can have 0, 1, or 2 roots depending on the discriminant (D = b² - 4ac). If D > 0, there are 2 distinct real roots; if D = 0, there is exactly 1 real root; if D < 0, there are no real roots.
- **Conclusion**: This statement is **False**.
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