if a+b = 3 and ab = 2 fit the value of a²+b² ​

Question

if a+b = 3 and ab = 2 fit the value of
a²+b²

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Hadley 12 hours 2021-11-25T05:31:59+00:00 2 Answers 0 views 0

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    0
    2021-11-25T05:33:15+00:00

    {\huge{\underline{\underline{\mathfrak{\red{Answer:-}}}}}}

    {\huge{\underline{\underline{\bold{\red{Given:-}}}}}}

    a + b = 3\: and\: ab = 2

    {\huge{\underline{\small{\bold{\purple{Now,}}}}}}

    {\huge{\underline{\small{\bold{\green{we\:know\:that:-}}}}}}

    (a + b)^2 = a^2+ b^2+ 2ab

    {\huge{\underline{\small{\bold{\blue{Now,}}}}}}

    (a + b) = 3

    [ On\: SQUARING\: both\: side]

    (a + b )^2 = 3^2

    a^2 + b^2+ 2ab = 9

    => a^2+ b^2+ 2×2 = 9

    => a^2 + b^2 = 9 - 4

    => (a^2 + b^2) = 5

    0
    2021-11-25T05:33:23+00:00

    Answer:

    Step-by-step explanation:

    a + b = 3 , & ab = 2

    NOW,

    we know that:-

    (a + b)² = a² + b² + 2ab

    Now,

    (a + b) = 3

    [ On SQUARING both side]

    (a + b )² = 3²

    a² + b² + 2ab = 9

    => a² + b² + 2×2 = 9

    => a² + b² = 9 – 4

    => (a² + b²) = 5

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    E ITS HELP YOU

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