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CBSE Class 11-science Answered

if x is a real number such that x³ + 4x = 8 , then find the value of X7 + 64x²

Asked by yeeshuraj3 | 19 Sep, 2016, 07:16: AM
answered-by-expert Expert Answer
x cubed plus 4 x equals 8 x cubed equals negative 4 x plus 8 For space straight n greater or equal than 0 straight x to the power of straight n plus 3 end exponent equals negative 4 straight x to the power of straight n plus 1 end exponent plus 8 straight x to the power of straight n therefore straight x to the power of 7 space equals space minus 4 straight x to the power of 5 plus 8 straight x to the power of 4 therefore straight x to the power of 7 space equals space minus 4 left square bracket negative 4 straight x cubed plus 8 straight x squared right square bracket plus 8 open square brackets negative 4 straight x squared plus 8 straight x close square brackets therefore straight x to the power of 7 equals 16 straight x cubed minus 32 straight x squared minus 32 straight x squared plus 64 straight x therefore straight x to the power of 7 equals 16 straight x cubed minus 64 straight x squared plus 64 straight x therefore straight x to the power of 7 plus 64 straight x squared space equals space 16 straight x cubed plus 64 straight x therefore straight x to the power of 7 plus 64 straight x squared space equals space 16 open parentheses straight x cubed plus 4 straight x close parentheses therefore straight x to the power of 7 plus 64 straight x squared space equals space 16 cross times 8 equals 128
Answered by Vijaykumar Wani | 20 Sep, 2016, 11:48: AM

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