Question

if x+1/x=-2 then x power 2015+1/2
x power 2014​

Answer 1

$\sf\dashrightarrow$$\sf\therefore$$\large\underline\bold{ɢɪᴠᴇɴ ᴀɴsᴡᴇʀ}$⤵

Using hit and trail method we substitute different value for x in equation

.

We find x =1 sastisfy the above equation.

Again substituting

$x = 1 \: \: in \: x \: 2014 + 1 \div x \: 2014 \\ \\ we \: get \: \\ 1 \: \: 2014 + 1 \div 1 \: \: 2014 \\ = 1 + 1 = 2$

After 1 you uses this symbol ^

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$\huge\mathcal{\fcolorbox{black}{black}{\red{Hope it's help u}}}$

Answer 2

Answer:

Solution: Given: x+ (1 / x) = 2 ⇒ (x2 + 1) / x = 2 ⇒ x2 + 1 = 2x ⇒ x2 - 2x + 1= 0 ⇒ (x - 1 )2 = 0 [∵(a - b)2 = a2 - 2ab + b2 ] ⇒ (x - 1 ) = 0 ∴ x = 1 Now, ⇒ x2014 + ( 1/ x2014) = 12014 + ( 1/ 12014) = 1 +1 =2

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