Question

the product of two numbers is 24 and the sum of their squares is 52 find their sum​

Answer 1

hope this helps you .............

Answer 2

Answer:

Sum = 10

Let X and Y be numbers

» xy = 24 .......(1)and

x^2 + y^2 = 52 ....(2)

From 1 , x = 24/y

Therefore, (2) becomes

(24/y)^2 + y^2 = 52

576/y^2 + y^2 = 52

» 576 + y^4 = 52y^2

» y^4 - 52y^2 +576 = 0 ....(3)

solving (3) We get

y^2 = 52 +20 / 2 = 36

y = 6

From .....(I)

x = 24/6 = 4

x+ y = 10

Also refer : https://brainly.in/question/3227689