Question 354 of 455MediumMCQ
All the values of m for which both roots of x2−2mx+m2−1=0 are greater than −2 but less than 4 lie in the interval Solutions · 1
Official solution
Equation x2−2mx+m2−1=0
\[{\left( {x - m} \right)^2} - 1 = 0\]
or \[\left( {x - m + 1} \right)\left( {x - m - 1} \right) = 0\]
x=m−1,m+1
m−1>−2 and m+1<4
\[ \Rightarrow m > - 1\] and m<3
or \[\,\,\, - 1 < m < 3\] Answer the question to unlock