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17 Feb 2017, 05:31
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If x is a positive integer such that x^2 + 5x − 14 = 0, what is the value of x ?
A. −7
B. −5
C. 0
D. 2
E. 5
A. −7
B. −5
C. 0
D. 2
E. 5
17 Feb 2017, 07:16
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SajjadAhmad
If x is a positive integer such that x² + 5x − 14 = 0, what is the value of x ?
A. −7
B. −5
C. 0
D. 2
E. 5
A. −7
B. −5
C. 0
D. 2
E. 5
Given: x² + 5x − 14 = 0,
Factor: (x + 7)(x - 2) = 0
We can conclude that EITHER x + 7 = 0 OR x - 2 = 0
If x + 7 = 0, then x = -7
If x - 2 = 0, then x = 2
We have two different solutions, but the question asks for the POSITIVE solution, which is 2
Answer: D
Cheers,
Brent
17 Feb 2017, 12:23
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SajjadAhmad
If x is a positive integer such that x^2 + 5x − 14 = 0, what is the value of x ?
A. −7
B. −5
C. 0
D. 2
E. 5
A. −7
B. −5
C. 0
D. 2
E. 5
Solving the Quadratic equation :
x^2 + 5x − 14 = 0
(x + 7) (x - 2) = 0
x = -7 or 2
As x is a positive number , x = 2
Answer is D .
