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CUET
General Aptitude Test
Quantitative Reasoning
Algebra
If x4 + \(\frac{1}{x^4}\) = 1154 (x > 0)
Find 2(x - 3)2 + 30
16
12
46
48
If x4 + \(\frac{1}{x^4}\) = 1154
then, x + \(\frac{1}{x}\) = 6 (remember)
⇒ x2 - 6x = -1
Now; we need to find 2(x - 3)2 + 30
So, 2(x2 + 9 - 6x) + 30
2 (- 1 + 9) + 30 = 46