Question

If x–1/x=5 ,find
x²+1/x²​–3x+3/x​

Answer 1

Answer:

$\displaystyle{{\boxed{\red{\sf\:x^2\:+\:\dfrac{1}{x^2}\:-\:3x\:+\:\dfrac{3}{x}\:=\:12}}}}$

Step-by-step-explanation:

We have given that,

$\displaystyle{\sf\:x\:-\:\dfrac{1}{x}\:=\:5}$

We have to find the value of,

$\displaystyle{\sf\:x^2\:+\:\dfrac{1}{x^2}\:-\:3x\:+\:\dfrac{3}{x}}$

Now,

$\displaystyle{\sf\:x^2\:+\:\dfrac{1}{x^2}\:-\:3x\:+\:\dfrac{3}{x}}$

$\displaystyle{\implies\sf\:\left(\:x\:-\:\dfrac{1}{x}\:\right)^2\:+\:2\:\times\:\cancel{x}\:\times\:\dfrac{1}{\cancel{x}}\:-\:3x\:+\:\dfrac{3}{x}\:\quad\:-\:-\:-\:[\:\because\:a^2\:+\:b^2\:=\:(\:a\:-\:b\:)^2\:+\:2ab\:]}$

$\displaystyle{\implies\sf\:\left(\:x\:-\:\dfrac{1}{x}\:\right)^2\:+\:2\:-\:3\:\left(\:x\:+\:\dfrac{1}{x}\:\right)}$

$\displaystyle{\implies\sf\:(\:5\:)^2\:+\:2\:-\:3\:\times\:5\:\quad\:-\:-\:-\:[\:Given\:]}$

$\displaystyle{\implies\sf\:25\:+\:2\:-\:3\:\times\:5}$

$\displaystyle{\implies\sf\:27\:-\:15}$

$\displaystyle{\implies\sf\:12}$

$\displaystyle{\therefore\:\underline{\boxed{\red{\sf\:x^2\:+\:\dfrac{1}{x^2}\:-\:3x\:+\:\dfrac{3}{x}\:=\:12}}}}$

Answer 2

Answer:

yaa bro

kaveri Meri jaan hai acha hai kam use karti hai but yaar use mai bahot miss karta hu mai ye sochta hu kabhi kaveri se real mai miluga ya nahi usake bad sochata hu agr nahi mila agr mujhe kuch ho gya ya mai mar gya tho kaveri ko lagega ki mai use chod diya isaliye yaar bahot dr lagta hai but god hai na mai god par vishvas karta hu ki yek din zarur miluga