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5 August, 23:37

Factor the trinomial

x^2-9x+4x

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Answers (2)
  1. 6 August, 02:32
    0
    Step-by-step explanation:Simplifying

    x2 + - 9x = 4x + - 4

    Reorder the terms:

    -9x + x2 = 4x + - 4

    Reorder the terms:

    -9x + x2 = - 4 + 4x

    Solving

    -9x + x2 = - 4 + 4x

    Solving for variable 'x'.

    Reorder the terms:

    4 + - 9x + - 4x + x2 = - 4 + 4x + 4 + - 4x

    Combine like terms: - 9x + - 4x = - 13x

    4 + - 13x + x2 = - 4 + 4x + 4 + - 4x

    Reorder the terms:

    4 + - 13x + x2 = - 4 + 4 + 4x + - 4x

    Combine like terms: - 4 + 4 = 0

    4 + - 13x + x2 = 0 + 4x + - 4x

    4 + - 13x + x2 = 4x + - 4x

    Combine like terms: 4x + - 4x = 0

    4 + - 13x + x2 = 0

    Begin completing the square.

    Move the constant term to the right:

    Add '-4' to each side of the equation.

    4 + - 13x + - 4 + x2 = 0 + - 4

    Reorder the terms:

    4 + - 4 + - 13x + x2 = 0 + - 4

    Combine like terms: 4 + - 4 = 0

    0 + - 13x + x2 = 0 + - 4

    -13x + x2 = 0 + - 4

    Combine like terms: 0 + - 4 = - 4

    -13x + x2 = - 4

    The x term is - 13x. Take half its coefficient (-6.5).

    Square it (42.25) and add it to both sides.

    Add '42.25' to each side of the equation.

    -13x + 42.25 + x2 = - 4 + 42.25

    Reorder the terms:

    42.25 + - 13x + x2 = - 4 + 42.25

    Combine like terms: - 4 + 42.25 = 38.25

    42.25 + - 13x + x2 = 38.25

    Factor a perfect square on the left side:

    (x + - 6.5) (x + - 6.5) = 38.25

    Calculate the square root of the right side: 6.184658438

    Break this problem into two subproblems by setting

    (x + - 6.5) equal to 6.184658438 and - 6.184658438.
  2. 6 August, 03:07
    0
    Step-by-step explanation:

    Simplifying

    x2 + - 9x = 4x + - 4

    Reorder the terms:

    -9x + x2 = 4x + - 4

    Reorder the terms:

    -9x + x2 = - 4 + 4x

    Solving

    -9x + x2 = - 4 + 4x

    Solving for variable 'x'.

    Reorder the terms:

    4 + - 9x + - 4x + x2 = - 4 + 4x + 4 + - 4x

    Combine like terms: - 9x + - 4x = - 13x

    4 + - 13x + x2 = - 4 + 4x + 4 + - 4x

    Reorder the terms:

    4 + - 13x + x2 = - 4 + 4 + 4x + - 4x

    Combine like terms: - 4 + 4 = 0

    4 + - 13x + x2 = 0 + 4x + - 4x

    4 + - 13x + x2 = 4x + - 4x

    Combine like terms: 4x + - 4x = 0

    4 + - 13x + x2 = 0

    Begin completing the square.

    Move the constant term to the right:

    Add '-4' to each side of the equation.

    4 + - 13x + - 4 + x2 = 0 + - 4

    Reorder the terms:

    4 + - 4 + - 13x + x2 = 0 + - 4

    Combine like terms: 4 + - 4 = 0

    0 + - 13x + x2 = 0 + - 4

    -13x + x2 = 0 + - 4

    Combine like terms: 0 + - 4 = - 4

    -13x + x2 = - 4

    The x term is - 13x. Take half its coefficient (-6.5).

    Square it (42.25) and add it to both sides.

    Add '42.25' to each side of the equation.

    -13x + 42.25 + x2 = - 4 + 42.25

    Reorder the terms:

    42.25 + - 13x + x2 = - 4 + 42.25

    Combine like terms: - 4 + 42.25 = 38.25

    42.25 + - 13x + x2 = 38.25

    Factor a perfect square on the left side:

    (x + - 6.5) (x + - 6.5) = 38.25

    Calculate the square root of the right side: 6.184658438

    Break this problem into two subproblems by setting

    (x + - 6.5) equal to 6.184658438 and - 6.184658438.
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