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4 May, 18:43

How many times do f (x) = 3x^2-2x+1 and g (x) = -x^2+10x-8 intersect? Explain

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  1. 4 May, 20:59
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    one - x = 3/2

    Step-by-step explanation:

    when f (x) = g (x), functions will intersect

    3x²-2x+1=-x²+10x-8

    4x²-12x+9 = 0

    this is a 2nd degree equation and it may have maximum 2 answers and we should calculate delta first

    delta = (12) ²-4*4*9 = 0

    so when delta is equal to 0 we just have one real answer

    answer is 12 / (2*4) = 3/2
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