Question

If 460 is divided by a natural number, quotient is 6 more than five times the divisor and remainder is 1. Find quotient and diviser. ​

Answer 1

Answer:

Divisor = 9 and -10.2

Quotient = 51 and -45

Step-by-step explanation:

Let the divisor be x,

then ATQ, quotient = 5x + 6

Now, Dividend = Divisor × quotient + remainder

=> 460 = x × (5x + 6) + 1

=> 460 - 1 = 5x^2 + 6x

=> 5x^2 + 6x - 459 = 0

Solving the quadratic -

x = -6 + 96/10 and x = -6 - 96/10

So, x = 9 and -10.2

So, quotient = 5(9) + 6 = 51

and, 5(-10.2) + 6 = -45