if a number id added to three times its reciprocal, the result is 5 3/5 find the number - Math - Rational Numbers

Question

if a number id added to three times its reciprocal, the result is 5
3/5 find the number

Varun.Rawat · Accepted Answer

Let the number = xNow, its reciprocal = 1xNow, according to question :     x + 3x = 535⇒x2 + 3x = 285⇒5x2 - 28x + 15 = 0⇒5x2 - 25x - 3x + 15 = 0⇒5xx - 5 - 3x - 5 = 0⇒5x - 3x - 5 = 0⇒5x - 3 = 0   or  x - 5 = 0⇒x = 35   or  x = 5So, required number is 35 or 5

if a number id added to three times its reciprocal, the result is 5 3/5. find the number.