12 times the square of a nonzero number is equal to 72 times the number. what is the number?

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  • Como
    Lv 7
    1 decade ago
    Favorite Answer

    Let number be x

    12 x² = 72 x

    x² = 6x

    x² - 6x = 0

    x (x - 6) = 0

    x = 0 , x = 6

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  • Anonymous
    1 decade ago

    To solve this problem simply state it algebraically.

    12 times the square of a nonzero number is the same as

    12x^2

    and 72 times the number is

    72x

    equate the two

    12x^2 = 72x

    dividing through by 12 we get

    x^2 = 6x

    divide through by x

    x = 6

    so your number is 6.

    Hope this helps!

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  • 4 years ago

    To Solve this we create an equation for it: 15x^2=12x Bring 12x on the other side:15x^2-12x=0 Factor x out: x(15x-12)=0 Two Possible answers: 15x-12=0 Bring 12 on the right side:15x=12 divide by 15: x=12/15 Don't Forget about the x you factored out, which is also a solution. The answer is x=12/15 and x=0

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  • Anonymous
    1 decade ago

    Let

    x = number

    Therefore,

    12x^2 = 72x

    Dividing both sides by "12x", the above simplifies to

    x = 6

    CHECK:

    12(6^2) = 12 (36) = 432

    72(6) = 432

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  • 1 decade ago

    12(n^2) = 72n

    n^2 = 6n

    n = 6

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