One positive number is 8 more than twice another. If the product is 731

Question

One positive number is 8 more than twice another. If the product is 731

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Gabriella 2 weeks 2021-10-11T17:50:37+00:00 1 Answer 0

Answers ( )

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    2021-10-11T17:52:19+00:00

    Answer:

    -5738

    Step-by-step explanation:

    One positive number “y” is 6 more than twice another “x

    Equation 1:  y = 2x + 8

    Their product is 731, therefore…

    Equation 2: x * y = 731

    Substitute

    New Equation: x(2x + 8) = 731

    Solve

    x (2x + 8) = 731       Perform the multiplication by distributing the x

    2x^{2} + 8x = 731         Divide entire equation by 2, the coefficient of x2

    x^{2} + 4x = 365.5             Set equation (it is a quadratic) to 0 in order to solve by subtracting 365.5 from both sides

    x^{2} + 4x – 365.5 = 0        We can solve this using the Quadratic Formula or by Factoring.

    Factoring

    x^{2} + 4x – 365.5 = 0      Solve by Factoring

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