the product of two rational number is -9 if one of them is -12 find another

the product of two rational number is -9 if one of them is -12 find another

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2 thoughts on “the product of two rational number is -9 if one of them is -12 find another”

  1. Solution:-

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    [tex]\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}[/tex]

    [tex]\implies[/tex] Here it is given in the question that the product of two numbers is -9 and one of the number is -12. Now, the question has asked us to find out the another numbers. So, to find the another numbers follow the steps shown below.

    ANSWER:-

    ⪼ 2nd number = 3 / 4

    GIVEN:-

    ⟶ Product of 2 numbers = -9

    ⟶ 1st number = -12

    TO FIND:

    ⇢ 2nd number = ?

    HOW TO DO:-

    ❐ Let the 2nd number be x.

    ❐ -12 × x = -9

    ❐ Equation = -12 × x = -9

    ❐ Solve further.

    SOLVING BY APPLYING THE FORMULA:-

    ⟶ Product of 2 numbers = -9

    ⟶ 1st number = -12

    ❐ Let the 2nd number be x.

    ❐ -12 × x = -9

    ❐ Equation = -12 × x = -9

    ❐ Solve further.

    • Finding the value of x:-

    ☞ -12 × x = -9

    Multiplying the terms:- -12 × x = -12x

    So,

    ☞ -12x = -9

    Transposing -12 to R.H.S:- -9 / -12

    So,

    ☞ x = -9 / -12

    ☞ Dividing the terms:- -9 / -12 = -3 / -4

    So,

    ☞ x = -3 / -4

    ☞ Cancelling minus by minus:- -3 / -4 = 3 / 4

    So,

    ☞ x = 3 / 4

    ☞ Final answer:- x = 3 / 4

    So,

    ☞ x = 3 / 4

    Thus we got the answer. The 2nd number is 3 / 4.

    VERIFICATION:-

    ☞ 1st no. × 2nd no. = Product

    ☞ -12 × 3 / 4

    ☞ -12 × 3 = -36

    ☞ -36 / 4

    ☞ -36 / 4 = -9

    ∴ L.H.S = R.H.S

    Hence, proved.

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  2. Given:

    • Product of two rational number is -9
    • One number is -12

    To Find:

    • Another number=?

    Solution:

    According to the question,product of two number is given and one number is also given and we are said to find another number.

    Let’s assume:

    • Let the another number be x.

    According to the question,

    -12 * x = -9

    x = -9/-12

    x=9/12

    .x=3/4

    Hence, the another number is 3/4.

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