One number is 3 more than other number and their product is -2. Find the numbers

Question

One number is 3 more than other number and their product is -2. Find the numbers

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Rylee 5 days 2021-09-11T13:29:39+00:00 2 Answers 0 views 0

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    0
    2021-09-11T13:31:12+00:00

    Answer:

    The numbers are -1 and -2.

    Step-by-step explanation:

    Let the first number be a then another number will be a+3 because one number is 3 more than another.

    It is given that Product = (-2)

    => a(a+3) = (-2)

    => a^2 + 3*a = (-2)

    => a^2 + 3*a + 2 = 0

    By middle term splitting, we get

    => a^2 + 2*a + a + 2 = 0

    => a*(a + 2) + 1*(a + 2) = 0

    => (a + 1)*(a + 2) = 0

    => (a + 1) = 0 and (a + 2) = 0

    => a = -1 and a = -2

    Hence, the numbers are (-1) and (-2).

    0
    2021-09-11T13:31:14+00:00

    Answer:

    Let ¬†represent “another” number. Then “one” number is ¬†

    then

    x (3x + 1) = 154

    3x ‘2 + x – 154 = 0

    Solve the quadratic for the two values of “another” number then calculate 3x + 1 for each. Check both results to ensure you didn’t introduce an extraneous root.





     

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