Charles wants to compare the solutions to the equations x^2=64 and x^3=64. Compare the signs of the solutions. Explain your reas

Question

Charles wants to compare the solutions to the equations x^2=64 and x^3=64.

Compare the signs of the solutions. Explain your reasoning.

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Thu Hương 5 years 2021-08-19T12:14:19+00:00 1 Answers 25 views 0

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  1. thugiang
    0
    2021-08-19T12:15:29+00:00
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    Answer:

    x = ±4

    x = 4

    Step-by-step explanation:

    x² = 64.

    Square root both sides

    √x² =√64

    x= ±8

    When squaring both sides, the required solution is both positive and negative since the product of two negative number is positive.

    x³ = 63.

    Cube root both sides

    3√x³ = 3√65

    x =4

    This only gives a positive number not negative since the product of three negative number gives a negative number

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