If 3^x+y = 27 and 27³ = 3^x-y, then find value of x² - y². – InterviewSolution

1.

If 3^x+y = 27 and 27³ = 3^x-y, then find value of x² - y².

Answer»

Answer:

3^X+y = 27 and 27 = 3^x-y

3^x+y = 3^3 and 3^3 = 3^x-y

x+y =3 and x-y = 3

by solving both equations we get x = 3 and y = 0

So, x^2 - y^2 = 9

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