Math

One of the roots of the equation x^2−6x+q=0 is 4.5. Find the other root and the value of the coefficient q.

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  1. x^2-6x+q = (x - 9/2)(x-a) = x^2 - (a + 9/2)x + 9/2 a
    clearly, a + 9/2 = 6
    now just finish it off

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  2. h = - B/2A = 6/2 = 3 = axis of symmetry.
    The roots are the same distance from axis of symmetry.
    (1.5, 0), (3, 0), (4.5, 0). The roots are 1.5 and 4.5.

    4.5^2 - 6*4.5 + q = 0
    q =

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