Question

The sum of the no. is 15 and the sum of the reciprocal is 3/10. Formulate the quadratic equations to find the two numbers​

Answer 1

Answer:

Hence , The quadratic equation will be x^2-15x+50

Answer 2

Answer:

let the numbers be x,y

=> x+y = 15

and

=> 1/x + 1/y = 3/10

=> (x+y)/xy = 3/10

=> 15/xy = 3/10

=> xy = 150

=> y = 150/x

so, x + 150/x = 15

=> x²+150 = 15x

=> x²-15x+150 = 0