c is the value of x^3+3x-14 where x=root[3](7+5 sqrt2)-1/(root[3](7+5 sqrt2)).Find the value of a+b+c

Danika Mckay

Danika Mckay

Answered question

2022-10-30

c is the value of x 3 + 3 x 14 where x = 7 + 5 2 3 1 7 + 5 2 3 .Find the value of a + b + c

Answer & Explanation

Travis Sellers

Travis Sellers

Beginner2022-10-31Added 18 answers

a 2 = 57 + 40 2 + 57 40 2 2 57 2 40 2 2 = 2 57 2 4 9 = 100
a = 10
b = 5 2 log 5 8 + 7 2 log 7 6 = 8 2 + 6 2 = 1 00 = 10
x = a 1 a , a = ( 7 + 5 2 ) 1 3
x 3 + 3 x 14 = ( a 3 3 a + 3 a 1 a 3 ) + 3 ( a 1 a ) 14 = a 3 1 a 3 14 = 7 + 5 2 1 7 + 5 2 14 = 7 + 5 2 7 5 2 1 14 = 0 = c

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