If x 3 + y 3 = 35 and xy = 6, x y, then value of (x – y) will be

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If x 3 + y 3 = 35 and xy = 6, x > y, then value of (x – y) will be

CollectorBabu · Accepted Answer

Correct Answer: 1. Given x 3 + y 3 = 35 and xy = 6 We know that- (a+ b) 3 = a 3 + b 3  + 3ab(a+b) Hence (x+ y) 3 = x 3 + y 3  + 3xy(x+y) Putting values we get, 5 3 = 35 + 3xy(5) 125 – 35 = 15xy Hence xy = 90/15 Hence xy = 6…………(1) Now, (x-y) 2 = (x+y) 2 -4xy Putting values =5 2 – 4*6 =25-24 =1 Hence x-y = √1 So, x-y = +/- 1

If x 3 + y 3 = 35 and xy = 6, x > y, then value of (x – y) will be

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If x 3 + y 3 = 35 and xy = 6, x &gt; y, then value of (x – y) will be

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If x 3 + y 3 = 35 and xy = 6, x > y, then value of (x – y) will be