X²+y²+1=2x, then find the value of x³+y⁵
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If x2 + y2 + 1 = 2x then the value...Home / Arithmetic Ability / Algebra / Question
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If x2 + y2 + 1 = 2x, then the value of x3 + y5 is?
A. 2
B. 0
C. -1
D. 1
Answer: Option D
Solution(By Examveda Team)
x2+y2+1=2xx2−2x+1+y2=0(x−1)2+y2=0If A2+B2=0
[As powers are even it can possible only when A = 0 & B = 0]
∴x−1=0x=1y=0∴x3+y5=1+0=1
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