The sum of a number and its reciprocal is 17/4. Find the numbers.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 4 and 1/4.
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Let the number be x. According to the question; x + (1÷x) = 17÷4 ⇒(x2 + 1)÷x = 17÷4 ⇒4x2 - 17x + 4 = 0 On solving the quadratic equation; x= 4, 1÷4 Hence, option 2 is the correct answer. |