Home
Class 9
MATHS
Find square root of (m+1/m)^2-4(m-1/m) :...

Find square root of `(m+1/m)^2-4(m-1/m)` :

Text Solution

Verified by Experts

`(m+1/m)^2-4(m-1/m)`
`m^2+1/m^2+20m*1/m-4m+4/m`
`m^2+1/m^2+2-4m-4/m`
`m^2+1/m^2+2*m*(-1/m)+2*(-1/m)*(-2)+2*(-2)m`
`m^2+1/m^2+4+2*m*(-1/m)+2*(-1/m)+2*(-1/m)`
`(m-1/m-2)^2`
`sqrt((m+1/m)^2-4(m-1/m))=(sqrt(m-1/m-2)^2)`
`pm(m-1/m-2)^2`
Promotional Banner

Similar Questions

Explore conceptually related problems

The square root of 4m^(2)-24m+36 is ___.

Find the squre root of (m^(n^(2)) n^(m^(2)) a^((m +n)))/((m + n)^((m +n)^(2)))

IF the roots of (3m +1) x^2 +2(m+1) x+m =0 are equal then m=

Product of root of (m-2)x^2-(m-3)x+(m+1)=0 is thrice of their sum . Find the value of m.

Find the value of m m - ( ( m -1 ) /2) = 1 - ( ( m - 2 ) /3)

What is the (m-1)^(th)" root of "[(a^(m))^(m)-(1/m)]^(1/(m+1)) ?

Find the values of m for which the following equations have equal roots ? (3m+1)x^(2)+2(m+1)x+m=0

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.