Please solve fast I have to send my work to the teacher
Answers
(x+1/x)² = 3 (x+1/x) = √3
x²+1/x²+2 = 3
x²+1/x²=1
(x+1/x)³ = 3√3
x³+1/x³+3(x+1/x) = 3√3
x³+1/+x³+3√3 = 3√3 x³+1/x³ = 0
31> a+b+c = 12 ab+bc+ca= 22 a²+b²+c²=?
(a+b+c)²=a²+b²+c²+2(ab+bc+ca)
144 -2*22 = a²+b²+c²
a²+b²+c² = 100
32> a+b+c = 12 ab+bc+ca= ? a²+b²+c²= 100
(a+b+c)²=a²+b²+c²+2(ab+bc+ca)
144 - 100 = 2(ab+bc+ca)
ab+bc+ca = 22
33> a+b+c = ? ab+bc+ca= 50 a²+b²+c²= 125
(a+b+c)²=a²+b²+c²+2(ab+bc+ca)
(a+b+c)²= 125+100
(a+b+c)²=225
a+b+c=15
34> a+b-c = 5 ab-bc-ca= ? a²+b²+c²= 29
(a+b-c)²=a²+b²+c²+2(ab-bc-ca)
25 = 29+2(ab-bc-ca)
2(ab-bc-ca)=4
ab-bc-ca=2
35> a-b=7 a²+b²=85 a³-b³=?
a³-b³=(a-b)(a²+b²+ab) <(a-b)²=a²+b²-2ab>
=(7)(85+ 18) 49 = 85 - 2ab ab = 18
= 7*103
= 721