Quadratic EquationEasy
Question
All the values of m for which both roots of the equations x2 - 2mx + m2 - 1 = 0 are greater than -2 but less than 4, lie in the interval
Options
A.-2 < m < 0
B.m > 3
C.-1 < m < 3
D.1 < m < 4
Solution
Equation x2 - 2mx + m2 - 1 = 0
(x - m)2 - 1 = 0
(x - m + 1) (x - m - 1) = 0
x = m - 1, m + 1
- 2 < m - 1 and m + 1 < 4
m > - 1 and m < 3
- 1 < m < 3.
(x - m)2 - 1 = 0
(x - m + 1) (x - m - 1) = 0
x = m - 1, m + 1
- 2 < m - 1 and m + 1 < 4
m > - 1 and m < 3
- 1 < m < 3.
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