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# If (x+2)(x−5)/(x−3)(x+4) = 1, then x =

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Math Expert
Joined: 02 Sep 2009
Posts: 52401
If (x+2)(x−5)/(x−3)(x+4) = 1, then x =  [#permalink]

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31 Oct 2018, 00:56
00:00

Difficulty:

25% (medium)

Question Stats:

83% (01:15) correct 17% (02:02) wrong based on 47 sessions

### HideShow timer Statistics

If $$\frac{(x+2)(x−5)}{(x−3)(x+4)} = 1$$, then x =

A. −2
B. −12
C. 1
D. 1/2
E. 2

_________________
Director
Joined: 18 Jul 2018
Posts: 591
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: If (x+2)(x−5)/(x−3)(x+4) = 1, then x =  [#permalink]

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31 Oct 2018, 01:15
Solve by options

x = 1/2

_________________

If you are not badly hurt, you don't learn. If you don't learn, you don't grow. If you don't grow, you don't live. If you don't live, you don't know your worth. If you don't know your worth, then what's the point?

Intern
Joined: 15 Oct 2018
Posts: 2
Re: If (x+2)(x−5)/(x−3)(x+4) = 1, then x =  [#permalink]

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31 Oct 2018, 01:46
(x+2)(x-5) = (x-3)(x+4)

-->

x^2 -3x -10 = x^2 + x -12

-->

-4x = -2

-->

x = 1/2

Director
Joined: 19 Oct 2013
Posts: 509
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: If (x+2)(x−5)/(x−3)(x+4) = 1, then x =  [#permalink]

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31 Oct 2018, 02:09
Bunuel wrote:
If $$\frac{(x+2)(x−5)}{(x−3)(x+4)} = 1$$, then x =

A. −2
B. −12
C. 1
D. 1/2
E. 2

Extend the quadratic equation to be x^2 -3x - 10 = x^2 + x - 12

-4x = -2

x = 1/2

Re: If (x+2)(x−5)/(x−3)(x+4) = 1, then x = &nbs [#permalink] 31 Oct 2018, 02:09
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