Please solve
Q7
I Will Mark as brainliest
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Answer:
x² +(1/x²) = 34
x^4 + 1/x^4 = 1154
Step-by-step explanation:
x = 3+ √8
x = (3+√8)(3-√8) / (3-√8)
x = (9 -8) / (3-√8)
x = 1/ (3 -√8)
Or we can write 1/x = (3-√8)
Put the value and find out
x² +(1/x²) = x² + (1/x)²
So x² + 1/ x² = (3 +√8)² + (3 -√8)²
= 9+6√8+8 + 9–6√8+8
= 34.
x = 3 +√8, 1/x = 3- √8
x^4 + 1/x^4
= (x² + 1/x²)²- 2
= ( 34 )² - 2
= 34² - 2
= 1156 -2
= 1154
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