Question

if the sum of the number is 437 and the product 21982​

Answer 1

Answer:

the numbers are:

1. 379
2. 58

Step-by-step explanation:

Let the two numbers be x and y

Given:

• x + y = 437 ....(1)
• xy = 21982

Now,

(x - y)^2 = (x+y)^2 - 4xy = (437)^2 - 4×21982

Or, (x - y)2 = 103041

Or, (x - y) = 321 .....(2)

Adding (1),(2);

we get:

2x = 758

Or, x= 758/2 = 379

Also put the value of x in eq (1), we get y= 58.

Hence the req numbers are; 379 & 58

:))