UP Police SI15 Mar 2026Shift 1Algebra

Let x − y = 49, and xy = 64, then find the value of x² + y².

मान लीजिए x − y = 49, और xy = 64 है, तो x² + y² का मान ज्ञात कीजिए।

Answer और ExplanationAnswer and explanation

Answer: (D) 2529

x2 + y2 = (x − y)2 + 2xy
= 492 + 2 × 64 = 2401 + 128 = 2529
✓
उत्तर 2529 है।
x2 + y2 = (x − y)2 + 2xy
= 492 + 2 × 64 = 2401 + 128 = 2529
✓
The answer is 2529.

Source: UP Police SI · 15 Mar 2026 · Shift 1। Solution: Prashant Sir, Vijayastra।Source: UP Police SI · 15 Mar 2026 · Shift 1. Solution by Prashant Sir, from Vijayastra.