Complete the work to find the dimensions of the rectangle. x(x – 3) = 10 x2 – 3x = 10 x2 – 3x – 10 = 10 – 10 (x + 2)(x – 5) = 0 What are the

Question

Complete the work to find the dimensions of the rectangle. x(x – 3) = 10 x2 – 3x = 10 x2 – 3x – 10 = 10 – 10 (x + 2)(x – 5) = 0 What are the width and length of the rectangle?

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Vodka 7 months 2021-08-08T13:35:40+00:00 1 Answers 5 views 0

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    2021-08-08T13:36:45+00:00

    Answer:

    Length =5

    Width = 2

    Step-by-step explanation:

    Given

    Length =x

    Width = x -3

    Area = 10

    x(x-3) =10

    See comment for missing part of the question

    Required

    Complete the expression to determine the dimension of a rectangle

    We have:

    x(x-3) =10

    Open bracket

    x^2 -3x = 10

    Equate to 0

    x^2 -3x - 10 =0

    Expand

    x^2 + 2x - 5x - 10 = 0

    Factorize

    x(x + 2) - 5(x + 2) = 0

    Factor out x + 2

    (x  - 5)(x + 2) = 0

    Solve for x

    x - 5 = 0 or x + 2 = 0

    x = 5 or x = -2

    The value of x cannot be negative

    So:

    x  = 5

    Recall that:

    Length = x

    Width = x - 3

    So:

    Length =5

    Width = 2 —- i.e. 5 – 3

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )