college algebra

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√3x+7=3x+5

How do I solve when the answer is -1?

  • college algebra -

    Squaring both sides

    3 x + 7 = ( 3 x + 5 ) ^ 2

    3 x + 7 = 9 x ^ 2 + 2 * 3 x * 5 + 5 ^ 2

    3 x + 7 = 9 x ^ 2 + 30 x + 25

    0 = 9 x ^ 2 + 30 x + 25 - 3 x - 7

    9 x ^ 2 + 27 x + 18 = 0 Divide both sides by 9

    x ^ 2 + 3 x + 2 = 0


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