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10 August, 10:34

Which of the following describes the solution to the equation √c^2+2c-4=√1-2c?

- 5 is an extraneous solution, and 1 is a true solution.

- 5 is a true solution, and 1 is an extraneous solution.

Both - 5 and 1 are true solutions.

Both - 5 and 1 are extraneous solutions.

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Answers (1)
  1. 10 August, 13:12
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    √c^2+2c-4=√1-2c

    raising both members to the square

    c^2+2c-4=1-2c

    rewriting

    c^2+4c-5=0

    factoring

    (c+5) * (c-1) = 0

    the solutions for this case re

    c=-5

    c=1

    the answer is

    Both - 5 and 1 are true solutions
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