If x4 + \(\frac{1}{x^4}\) = 1154&nb

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x⁴ + \(\frac{1}{x^4}\) = 1154 (x > 0)

Find 2(x - 3)² + 30

Options:

Correct Answer:

Explanation:

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