If the zeroes of the quadratic polynomial Ax² + Bx + C, C # 0 are equal, then​

Question

If the zeroes of the quadratic polynomial Ax² + Bx + C, C # 0 are equal, then​

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Charlie 1 month 2021-08-18T06:34:27+00:00 2 Answers 0 views 0

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    0
    2021-08-18T06:35:56+00:00

    Answer:

    If the zeros of quadratic polynomial ax² + bx + c.c is not equal to zero are equal then c and a will have the same sign.

    The zeroes of the given quadratic polynomial ax2 + bx + c, c ≠ 0 are equal. If coefficient of x² and the constant term have same sign which is c and a have the same sign. While b which is the coefficient of x can be positive/negative but not zero.

    Example – x² – 4x +4 = 0

            (x +2)² = 0

             x = -2

    Given the quadratic polynomial ax² + bx + c, c ≠ 0 are equal, which means D = 0

            b² – 4ac = 0

            b² = 4ac

            ac = b²/4

            ac > 0

    0
    2021-08-18T06:36:01+00:00

    Answer:

    Discreminent =0

    B^2 – 4AC=0

    B^2 =4AC

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