I got this as a question on a test:
a + b = 5
ab = 3
find out what a^(4) + b^(4) = ?
Answers
Answered by
0
Answer:
a⁴+b⁴ = 501
Step-by-step explanation:
a+b = 5 ---(1)
ab = 3 ---(2)
a²+b² = (a+b)² -2ab
= 5² - 2×3
= 25-6
= 23 ---(3)
a⁴ + b⁴ = (a²+b²)² -2a²b²
= 23² - 2(ab)²
= 519 - 2×3²
= 519 - 18
= 501
Therefore,
a⁴+b⁴ = 501
•••♪
Similar questions