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31 October, 07:41

What is true about the solution of x 2^

/2x-6=9/6x-18

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Answers (1)
  1. 31 October, 10:12
    0
    solution of the equation are x = 3 and x = ±√3

    Step-by-step explanation:

    Given in the question an equation

    x² / (2x-6) = 9 / (6x-18)

    Step1

    cross multiplication

    x² (6x - 18) = 9 (2x - 6)

    Step2

    apply distributive law

    6x³ - 18x² = 18x - 54

    step3

    rearrange the terms

    6x³ - 18x² - 18x + 54 = 0

    step4

    divide by 6

    x³ - 3x² - 3x + 9 = 0

    x² (x-3) - 3 (x-3) = 0

    (x-3) (x²-3) = 0

    Step5

    x = 3 and x² = 3

    for factor x² = 3

    take square root on both sides

    √x² = √3

    x = ±√3
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