HELP ME IN ANSWERING THIS TOUGHEST QUESTION I WILL MARK U THE BRAINLIEST AND FOLLOW
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a + b + c = 4
a² + b² + c² = 10
(a + b + c)² -2(ab + bc + ca) = 10
(4)² -2(ab + bc + ca) = 10
2(ab + bc + ca) = 6
ab + bc + ca = 3
a³ + b³ + c³ = 22
(a + b + c)(a² + b² + c² -ab -bc - ca) -3abc = 22
(4) (10 -3) -3abc = 22
3abc = 28 - 22
3abc = 6
abc = 2
(a² + b² + c²)² = a⁴ + b⁴ + c⁴ + 2(a²b² +b²c² +c²a²)
(10)² = a⁴ + b⁴ + c⁴ + 2{ (ab + bc + ca)² - 2(ab²c + bc²a + a²bc) }
100 = a⁴ + b⁴ + c⁴ + 2{ (3)² -2abc(a + b + c) }
100 = a⁴ + b⁴ + c⁴ + 2{ 9 - 2 × 2(4) }
100 = a⁴ + b⁴ + c⁴ + 2 × -7
a⁴ + b⁴ + c⁴ = 100 + 14
a⁴ + b⁴ + c⁴ = 114
Hope it helped you, if it did mark me brainliest ❤❤❤
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1
Answer:
Step-by-step explanation:
a^4+b^4+c^4=50
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