If a + b = 12 and ab = 35, find the valu

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + b = 12 and ab = 35, find the value of a⁴ + b⁴ – 10³?

Options:

2226

2026

2126

1226

Correct Answer:

2026

Explanation:

If a + b = 12

ab = 35,

Put the value of x = 7 and y = 5 ( These values will satisfy the given equation )

So, the value of a⁴ + b⁴ – 10³ = 7⁴ + 5⁴ – 103 = 2401 + 625 - 1000

a⁴ + b⁴ – 103 = 3026 - 1000 = 2026