Mathematics

Question

Solve the equation for x.

the square root of the quantity x minus 6 end quantity plus 3 equals 10

A. x=1
B. x=13
C. x=43
D. x=55

2 Answer

  • ANSWER

    D. x=55

    EXPLANATION

    The given radical equation is

    [tex] \sqrt{x - 6} + 3 = 10[/tex]

    Add -3 to both sides

    [tex] \sqrt{x - 6} = 10 - 3[/tex]

    [tex] \sqrt{x - 6} =7[/tex]

    Square both sides.

    [tex] { (\sqrt{x - 6})}^{2} = {7}^{2} [/tex]

    [tex]x - 6 = 49[/tex]

    Solve for x to get:

    [tex]x = 49 + 6 = 55[/tex]

  • Answer:

    its x=55

    i just took the quiz

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