Solve for all possible values of x. √16 – 3x = x – 6​

Question

Solve for all possible values of x.
√16 – 3x = x – 6​

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Eva 3 months 2021-10-08T17:07:13+00:00 1 Answer 0 views 0

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    2021-10-08T17:09:00+00:00

    The possible values of x are 2.5 and 0.5

    Step-by-step explanation:

    The given expression is √16 – 3x = x – 6​

    Solving the expression to find the possible values of x :

    √16 – 3x = x – 6​

    Keep x terms on one side and constants on another side,

    √16 + 6 = 3x+x

    4x = √16 + 6 ——-(1)

    √16 should be simplified as a whole number,

    √16 = √4² or √(-4)²

    The term √16 can be replaced by either +4 or -4 :

    Put √16 as +4 in eq(1),

    4x = 4+6

    4x = 10

    x = 10/4

    x = 5/2

    x = 2.5

    Put √16 as -4 in eq(1),

    4x = -4+6

    4x = 2

    x = 2/4

    x = 1/2

    x = 0.5

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