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.
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David MillerProfessorAsked on October 13, 2017 in GMAT.
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1 Answer

Thanks for your questions, your question is - If x + y = 6 and x2 + y2 = 30, then find the product of both the variables ā€˜x’ and ā€˜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. If you like my answer, share this to your friends.
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IT Info WorldSupporterAnswered on October 16, 2017,
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