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18 May, 18:52

For what value of c will this function have one zero?

f (x) = X^2 + c

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  1. 18 May, 19:51
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    X² + c is actually a quadratic function.

    And x² + c = 0, it usually has two zeros which are solutions.

    But for when c = 0,

    x² + c = 0

    x² + 0 = 0

    x² = 0

    Taking the square root of both sides.

    x = 0. Here it only has one zero.

    So the function x² + c, only has one root for c = 0.
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