Question

If the number x is 3 less than the number y and the sum of the squares of x and y
29, find the product of x and y.
um and the product of two numbers are 8 and 15 respectively, find the sum​

Answer 1

Answer:

Question 1.

x-3=y

x^2+y^2=29

=>x^2+(x-3)^2=29

=>x^2+x^2-6x+9=29

=>2x^2-6x-20=0

=>x=5 or -2=>y=2 or -5

Now,the product of x and y=10 .

Question 2.

Let,the two numbers are x and y.

Given, x+y=8

xy=15

(x-y)^2=(x+y)^2-4xy=64-60=4=>x-y=2

Now, solving (x+y) and (x-y), we get

x=5 and y=3 .