Powers and Roots Practice Test 4

Question : 40 of 40

Marks: +1, -0

The sum of the square of two numbers is 97 and the square of their difference is 25. The product of the two numbers is:

Solution:

Let the two numbers be x and y.

x^2+y^2=97

(x+y)^2=25

Now,

x^2+y^2-2xy=25

97-2xy=25

-2xy=25-97

-2xy=-72

xy = 36

So, the product of two numbers = 36.

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