Multiple choice

In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer. इनमें से प्रत्येक प्रश्न में दो समीकरण (I) और (II) दिए गए हैं। आपको दोनों समीकरणों को हल करना है और उत्तर देना है। I. x 3 – 125 = 0 II. y 4 – 625 = 0

  1. x > y

  2. x ≤ y

  3. x ≥ y

  4. x < y

  5. if x = y or relationship between x and y can't be established x = y या x और y के बीच संबंध स्थापित नहीं किया जा सकता

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Solve equation I: x³ - 125 = 0, so x³ = 125, giving x = 5 (real root). Solve equation II: y⁴ - 625 = 0, so y⁴ = 625, giving y = ±5 (since 5⁴ = 625 and (-5)⁴ = 625). The real roots are y = 5 and y = -5. When x = 5, x equals y = 5 but x > y = -5. Therefore, x ≥ y is always true (x is either equal to or greater than y).