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25 September, 13:08

If x=6 is the only x intercept of the graph of a quadration equation which statement best describes the describes the discrimination of the equation

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  1. 25 September, 16:48
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    In a quadratic equation, we use the quadratic formula to find the solutions x = (-b ± √ (b2 - 4ac)) / 2a where a, b, and c are coefficients of the equation ax2 + bx + c = 0 Since x=6 is the only x-intercept, the equation would be (x - 6) (x - 6) = 0 Expanding this out, we get x2 - 12x + 36 = 0 In this equation, a = 1b = - 12c = 36 Now the discriminant is the square-root part of the formula: b2 - 4ac Now plug in the values of a, b, and c into the discriminant. (-12) 2 - 4 (1) (36) = 144 - 144 = 0 This number is under the square-root. The square-root of 0 is 0. Your answer is (A).

    (I had the same question in math last week)
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