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19 February, 00:50

What value of c makes the trinomial below a perfect square x2 + 10x + c?

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  1. 19 February, 01:20
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    Hello:

    x² + 10x + c

    calculate the discriminant Δ = b²-4ac a = 1 b = 10 c = c

    Δ = 10²-4c

    the trinomial below a perfect square when : Δ = 0

    10² - 4c = 0

    4c = 10²

    c = 25

    x²+10x+25 = x² + 2 (5) x+5² = (x+5) ²
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