Answered

Factor the left hand side of the equation into two or more factors

16x^4-121x^2=0


To the fourth power^4

Squared^2


Cimpletly lost help me figure this out please

Verified Answer :

Panoyin

16x⁴ - 121x² = 0
                            x²(16x²) - x²(121) = 0
                                  x²(16x² - 121) = 0
               x²(16x² + 44x - 44x - 121) = 0
x²(4x(4x) + 4x(11) - 11(4x) - 11(11)) = 0
            x²(4x(4x + 11) - 11(4x + 11)) = 0
                          x²(4x - 11)(4x + 11) = 0
    x² = 0  or  4x - 11 = 0  or  4x + 11 = 0
√(x²) = √(0)      + 11 + 11            - 11 - 11
      x = 0     or     4x = 11     or     4x = -11
                            4      4               4       4
                             x = 2³/₄     or      x = -2³/₄

Solution Set: {0, ±2³/₄}

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