❤️..plz help..if x=√3+√2/√3-√2..find xsquare+1/xsquqre.....who will answer me i will thank his/her answers
Answers
√3+√2 √3+√2
x= --------------- x -----------
√3-√2 √3+√2
(√3+√2)(√3+√2)
x= -----------------------------
(√3-√2)(√3+√2)
x = (√3×√3) + (√2×√2) + 2√3×√2
-------------------------------------------------
(√3×√3)(√2×√2)
3 + 2 + 2√6
x = -------------------
3 - 2
2 (3+√6)
x = -----------------
1
x = 3+√6
Therefore = x²+1/x² According to Question
According to Question Put Value of x in Given...So it Will be like this :
x²+1
x= ----------
x²
(3+√6 × 3+√6) + 1
x= -------------------------------
(3+√6 × 3+√6)
(3 × 3) + (√6 × √6) + 2×3×√6 +1
x= ----------------------------------------------------
(3 × 3) + (√6 × √6) + 2×3×√6
9 + 6 + 6√6 + 1
x= -------------------------
9 + 6 + 6√6
15+ 1 + 6√6
x= ---------------------
15 + 6√6
16 + 6√6
x= ---------------
16 + 6√6
x = 1
I Hope This is Helpful for you......
Answer:
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