3 years ago

How long will the other side be ?

Mathematics

2 answers:

Soloha48 [4]3 years ago

5 0

Answer:

Step-by-step explanation:

geniusboy [140]3 years ago

5 0

Answer : B

explanation:

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If x+1/x= 3, then prove that m^5+1/m^5= 123

alina1380 [7]

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Explanation:

We can start with the relations ...

$\displaystyle\left(x+\frac{1}{x}\right)^3=\left(x^3+\frac{1}{x^3}\right)+3\left(x+\frac{1}{x}\right)\\\\\left(x+\frac{1}{x}\right)^5=\left(x^5+\frac{1}{x^5}\right)+5\left(x^3+\frac{1}{x^3}\right)+10\left(x+\frac{1}{x}\right)\\\\\textsf{From these, we can derive ...}\\\\x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(\left(x+\frac{1}{x}\right)^3-3\left(x+\frac{1}{x}\right)\right)-10\left(x+\frac{1}{x}\right)$

$\displaystyle x^5+\frac{1}{x^5}=\left(x+\frac{1}{x}\right)^5-5\left(x+\frac{1}{x}\right)^3+5\left(x+\frac{1}{x}\right)\right)\\\\x^5+\frac{1}{x^5}=3^5 -5(3^3)+5(3)\\\\=((3^2-5)3^2+5)\cdot3=(4\cdot9+5)\cdot3=(41)(3)\\\\=\boxed{123}$

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3 years ago

-2/3f=9.2<br> -1/8n = -2/7 <br> 12/20n = -36/44<br> -64.5g = -25.8 <br> -15/28 = -9/10

user100 [1]

Step-by-step explanation:

-2/3f =9.2

cross multiply

27,6= -2f

divide both sides by 2

f = - 13.8

-1/8n = -2/7

cross multiply

-16 = -7n

divide

n = 2.29

12/20n = -36/44

cross multiply

528 = - 720n

divide

n= -0.733

-64.5g = -25.8

divide both sides by -64.5

g = -0.4

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