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The sum of two numbers is 5; their product is -14. Find the numbers.

Mathematics
JAMB 2015

The sum of two numbers is 5; their product is -14. Find the numbers.

  • A. x = 5 or 1
  • B. x = 7 or 1
  • C. x = 7 or 0
  • D. x = 7 or − 2
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Correct Answer: Option D
Explanation

Let x represent the first number;

Then, the other is (5 − x) , since their sum is 5 and their product is 14

x(5 − x) = 14

5x − x2 = 14

x2 − 5x − 14 = 0

(x2 − 7x) + (2x − 14) = 0

x(x − 7) + 2(x − 7) = 0

(x − 7)(x + 2) = 0

Either (x − 7) = 0 or (x + 2) = 0

x = 7 or x = − 2

The two numbers are 7 and − 2

There is an explanation video available below.


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Explanation Video

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