Selection Post Phase XIV (12th)18 Sep 2026Shift 2Algebra

If x2 − 6x + 1 = 0, find the value of x4 + 1x4.

यदि x2 − 6x + 1 = 0 है, तो x4 + 1x4 का मान ज्ञात कीजिए।

Answer और ExplanationAnswer and explanation

Answer: (C) 1154

x ≠ 0 है, इसलिए हर पद (Term) को x से भाग दो: x − 6 + 1x = 0 ⇒ x + 1x = 6
x2 + 1x2 = 62 − 2 = 34
x4 + 1x4 = 342 − 2 = 1156 − 2 = 1154
✓
उत्तर 1154 है।
x ≠ 0, so divide every term by x: x − 6 + 1x = 0 ⇒ x + 1x = 6
x2 + 1x2 = 62 − 2 = 34
x4 + 1x4 = 342 − 2 = 1156 − 2 = 1154
✓
The answer is 1154.

Source: Selection Post Phase XIV (12th) · 18 Sep 2026 · Shift 2। Solution: Prashant Sir, Vijayastra।Source: Selection Post Phase XIV (12th) · 18 Sep 2026 · Shift 2. Solution by Prashant Sir, from Vijayastra.