The sum of a number and its reciprocal is 26/5. If the number is x, then x + 1/x = 26/5. Clear the fraction, form a quadratic and solve by factorisation. What is the larger possible value of x?

Question

Accepted Answer

5. x + 1/x = 26/5 gives 5x^2 - 26x + 5 = 0 = (5x - 1)(x - 5). So x = 1/5 or x = 5. Larger value is 5.

The sum of a number and its reciprocal is $\frac{26}{5}$ . If the number is $x$ , then $x + \frac{1}{x} = \frac{26}{5}$ .
Clear the fraction, form a quadratic and solve by factorisation. What is the larger possible value of $x$ ?

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More Class 10 Solving by Factorisation practice

The sum of a number and its reciprocal is 526​. If the number is x, then x+x1​=526​.Clear the fraction, form a quadratic and solve by factorisation. What is the larger possible value of x?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Solving by Factorisation practice

The sum of a number and its reciprocal is $\frac{26}{5}$ . If the number is $x$ , then $x + \frac{1}{x} = \frac{26}{5}$ .
Clear the fraction, form a quadratic and solve by factorisation. What is the larger possible value of $x$ ?