Math, asked by farazmubarak4apr2006, 9 months ago

Please solve fast I have to send my work to the teacher​

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Answered by madhurilekkala124
0

(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

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