Question

Find a positive number which when increased by 5 becomes equal to 50 times of its reciprocal

Answer 1

Answer:

10

Step-by-step explanation:

+ve number = x

(when 5 is added to x, it becomes equal to 50 times 1/x)

so,

x+5 = 50*(1/x)

x+5 = 50/x [multiply all terms by x]

x*x +x*5 = (50/x)*x

x2 + 5x = 50

x2 + 5x - 50 = 0

x2 - 10x + 5x - 50 = 0

x(x - 10) + 5(x - 10) = 0

(x - 10)(x + 5) = 0

therefore, x = 10, -5

Answer = 10 because the positive value is asked

;)