Question

the sum of number and its reciprocal is 10/8 find the number​

Answer 1

Answer:

no solution

Step-by-step explanation:

Let the numer be x

Thus it's reciprocal = 1/x

Now x +1/x = 10/8

x^2 + 1 = 10x/8

8x^2 + 8 = 10x

4x^2 + 4 = 5x

4x^2 - 5x + 4 = 0

D = b^2 - 4ac

Here b = - 5 and a = 4 and c = 4

D = 25 - 64 = Negative

Thus no positive solution is possible