EmojiQueen123
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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

Respuesta :

nonsibi

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

LeSm0lFox

Answer is C

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

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