Question

The sum of two numbers is 22 and the sum of the
squares is 404, then the product of two numbers is
?​

Answer 1

Answer:

40

Step-by-step explanation:

Let the 2 numbers be x and y.

According to question,

x+y=22

=>y=22-x   .....(1)

Also,

x²+y²=404   .....(2)

Putting value of y from (1) in (2), we get

x²+(22-x)²=404

=>2x²-44x+484=404

=>x²-22x+40=0

=>x²-2x-20x+40=0

=>x(x-2)-20(x-2)=0

=>(x-20)(x-2)=0

=>Either x-20=0 or x-2=0

=>Either x=20 or x=2

For x=20, y=2

For x=2,y=20

Hence,

The product of two numbers=20 x 2 = 40

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Answer 2

Answer:

the numbers are 2 and 20.

so, their product = 2 × 20 = 40.

refer to the attachment for the solution.

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