Question

The sum of two numbers is 7 and the sum their squares is 25, their product is equal to:​

Answer 1

Answer:

x=3 or 4

y =4or 3

Step-by-step explanation:

let the two numbers be x and y

then given that sum to two numbers be 7

x + y=7----(1)

and square of two numbers is 25

x²+y² = 25

(x+y)² = x²+y²+2xy

7²= 25 +2xy

49-25 =2xy

24 =2xy

xy=12

now by eq 1

x (7-x) = 12

x²-7x+12 =0

so

x=3 or 4

so if

x=3 than,

y=4

if x=4 then,

x=3

i hope u got it

Answer 2

Answer:

12

Step-by-step explanation:

let the two numbers be x and y

So x+y=7

x^2+y^2=25

x×y=??

So now do Squaring on both sides

(x+y)^2=7^2

x^2+y^2+2xy=49

As we know that x^2+y^2=25

So substitute in equation

then,25+2xy=49

So, 2xy=49-25

2xy=24

so, xy=12

Finally product of x and y is 12

Thank u