If x + y = 6 and x2 + y2 = 30, then find the product of both the variables ‘x’ and ‘y’.
I have a problems on MATH, My questions is –
If x + y = 6 and x2 + y2 = 30, then find the product of both the variables ‘x’ and ‘y’.
My 4 answers options are –
a. 6
b. 36
c. 2
d. 5
e. 3
Which is the correct answer? please explain.
Please help me by salving this GMAT Questions.
Thanks.
Thanks for your questions, your question is –
If x + y = 6 and x2 + y2 = 30, then find the product of both the variables ‘x’ and ‘y’.
Correct answer: e
Now read the details Explanation for your given questions clarifications:
We know the standard algebraic formula for (x+y)2
(x+y)2 = x2 + 2xy + y2
Now, according to the information given in the question, x + y = 6 and x2 + y2 = 30
Substituting these values in above equation, we get,
(6)2 = 30 + 2xy
∴ 36 – 30 = 2xy
∴ 6 = 2xy
∴ xy = 3
Hence, the correct answer is option= e.
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