Roots of Non-Quadratic Equation calculator

Solution

Solution will be displayed step by step (In 2 parts)

Solution

Problem: (x^2+1/x^2)-8(x-1/x)+14=0 [ Calculator, Method and examples ]

Solution:
Your problem `->` (x^2+1/x^2)-8(x-1/x)+14=0

`1(x^2+1/x^2)-8(x-1/x)+14=0`

Let `x-1/x=m`

`=>(x-1/x)^2=m^2`

`=>x^2+1/x^2-2=m^2`

`=>x^2+1/x^2=m^2 + 2`

Substituting this values in the given equation, we get
`(m^2+2)-8m+14=0`

`=>m^2-8m+16=0`

`m^2-8m+16=0`

`=>m^2-8m+16 = 0`

`=>(m)^2 - 2(m)(4) + (4)^2 = 0`

`=>(m-4)^2 = 0`

`=>(m-4) = 0`

`=>m = 4`

Now, `x-1/x=4`

`=>x^2-1=4x`

`=>x^2-4x-1=0`

For next solution steps, click on the below link

Click here to display next solution steps
(part - 2 / 2)

Solution provided by AtoZmath.com

Any wrong solution, solution improvement, feedback then Submit Here