Please Help! Asap! Will Mark Brainliest! Solve the rational equation x over 3 equals x squared over quantity x plus 5 and check for ex

Question

Please Help! Asap! Will Mark Brainliest!
Solve the rational equation x over 3 equals x squared over quantity x plus 5 and check for extraneous solutions.

A. x = 0; x equals negative five halves is an extraneous solution
B. x equals five halves; x = 0 is an extraneous solution
C. x = 0 and x equals five halves
D. x = 0 and x equals negative five halves

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Ella 1 month 2021-09-24T06:50:56+00:00 2 Answers 0

Answers ( )

    0
    2021-09-24T06:52:24+00:00

    x/3=x^2/x+5

    First cross multiply to get rid of the fractions.

    x^2+5x=3x^2

    Simplify by combining like terms.

    -2x^2+5x=0

    Factor out x.

    x(-2x+5)=0

    One of the factors must equal zero for the equation to stand.

    x=0,2.5

    Check for extraneous solutions by plugging in the values for x. They both work.

    Answer: C

    0
    2021-09-24T06:52:40+00:00

    Answer is C

    (Mainly answering so the other person can get brainliest, even after a year XD)

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