Question

Sum of the square of two number is 80 and the square of the different is 36 what is product of the two number

Answer 1

let the two numbers x and y

according to question

x²+y²=80 - (i)

x²-y²=36 -(ii)


add both equations

2x²=116

x²=58

x=√58

put the value of x in 1st equation

58+y²=80

y²=80-58=22

y=√22

Now product of two numbers =√58×√22
=√58×22
= 2√319


I hope answer is correct and helpful