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14 August, 00:34

If a+b+c=7 and ab+bc+ca=20 find the value of a^2+b^2+c^2

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  1. 14 August, 00:54
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    9

    Step-by-step explanation:

    Using the identity

    (a + b + c) ² = a² + b² + c² + 2 (ab + bc + ca)

    Subtract 2 (ab + bc + ca) from both sides, then

    a² + b² + c² = (a + b + c) ² - 2 (ab + bc + ca) = 7² - 2 (20) = 49 - 40 = 9
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