## 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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Math
1 month
2021-09-24T06:50:56+00:00
2021-09-24T06:50:56+00:00 2 Answers
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## Answers ( )

x/3=x^2/x+5First 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

Answer is C

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