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30 September, 04:02

Determine whether the statement is always, sometimes, or never true:

A quadratic function with real coefficients has real zeros.

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  1. 30 September, 04:27
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    The statement 'A quadratic function with real coefficients has real roots' is some times true and some times false.

    Step-by-step explanation:

    The quadratic function in the form ax² + bx + c = 0, has real roots when the discriminant, given by D = b² - 4ac is greater than or equal to zero.

    And the equation has imaginary roots when D = b² - 4ac is less than zero.

    So, even a quadratic equation has real coefficients can have non-real roots depending on the value of the discriminant.

    Hence, the statement 'A quadratic function with real coefficients has real roots' is some times true and some times false. (Answer)
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