a+b=2√3 and ab=3, find a^4+a^4.
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2
Answer:
18
Step-by-step explanation:
a+b=2 rt3
ab=3
a²+b²=(a+b)²-2ab
=(2 root3)² -2×3
=(root 12)²-6 [As 2 root 3 = root 12]
=12-6
=6 ---------(1)
(ab)²=a²b²
=3²
=9------------(2)
a⁴+b⁴=(a²+b²)²-2a²b²
=6² - 2×9 [From (1) and (2)]
=36-18
=18
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