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# If (8 − x)/(x + 1) = x, then x^2 + 2x − 3 =

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Math Expert
Joined: 02 Sep 2009
Posts: 53831
If (8 − x)/(x + 1) = x, then x^2 + 2x − 3 =  [#permalink]

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18 Oct 2018, 02:05
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:11) correct 32% (01:37) wrong based on 56 sessions

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If $$\frac{8−x}{x+1} = x$$, then $$x^2 + 2x − 3 =$$

A. -3
B. 1
C. 2
D. 5
E. Cannot be determined

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Joined: 18 Jul 2018
Posts: 762
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: If (8 − x)/(x + 1) = x, then x^2 + 2x − 3 =  [#permalink]

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18 Oct 2018, 02:44
1
1
$$\frac{(8 − x)}{(x + 1)}$$ = x.

Cross multiplying gives $$x^2+x = 8-x$$ or $$x^2+2x = 8$$.

then $$x^2 + 2x − 3 = 8-3 = 5$$.

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Re: If (8 − x)/(x + 1) = x, then x^2 + 2x − 3 =   [#permalink] 18 Oct 2018, 02:44
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