What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation? 5x^2-57x=3x-120

Question

What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
5x^2-57x=3x-120

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bonexptip 5 months 2021-08-25T11:44:30+00:00 1 Answers 40 views 0

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    0
    2021-08-25T11:46:09+00:00

    Answer:

    x=6+2√3 or x=6−2√3

    Step-by-step explanation:

    Let’s solve your equation step-by-step by using completing the square.    

    5x^2−57x=3x−120

    Step 1: Subtract 3x from both sides.

    5x^2−57x−3x=3x−120−3x

    5x^2−60x=−120

    Step 2: Since the coefficient of 5x^2 is 5, divide both sides by 5.

    5×2−60x/5
    =
    −120
    /5

    x2−12x=−24

    Step 3: The coefficient of -12x is -12. Let b=-12.

    Then we need to add (b/2)^2=36 to both sides to complete the square.

    Add 36 to both sides.

    x2−12x+36=−24+36

    x2−12x+36=12

    Step 4: Factor left side.

    (x−6)2=12

    Step 5: Take square root.

    x−6=±√12

    Step 6: Add 6 to both sides.

    x−6+6=6±√12

    x=6±√12

    x=6+2√3 or x=6−2√3

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