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15 November, 07:29

If f (x) = 5x^2-3 and f (x+a) = 5x^2+30x+42, what is the value of a?

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  1. 15 November, 09:04
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    Answer:a=3

    Step-by-step explanation:

    f (x) = 5x²-3

    f (x+a) = 5 (x+a) ²-3

    Expanding RHS

    5 (x+a) (x+a) - 3

    5 (x²+2ax+a²) - 3

    Open the bracket

    5x²+10ax+5a²-3

    Hence

    f (x+a) = 5x²+10ax+5a²-3

    Compare with

    5x²+30x+42

    10ax=30x

    10a=30

    a=3
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