If both roots of the quadratic equation x2−mx+4=0 are real and distinct and they lie in the interval [1, 5] then m lies in the interval:
a.
(4, 5)
b.
(3, 4)
c.
(5, 6)
d.
None of these
a.
(4, 5)
b.
(3, 4)
c.
(5, 6)
d.
None of these
Question ID - 56744 | SaraNextGen Top Answer If both roots of the quadratic equation x2−mx+4=0 are real and distinct and they lie in the interval [1, 5] then m lies in the interval:
a.
(4, 5)
b.
(3, 4)
c.
(5, 6)
d.
None of these
If both roots of the quadratic equation x2−mx+4=0 are real and distinct and they lie in the interval [1, 5] then m lies in the interval:
|
a. |
(4, 5) |
b. |
(3, 4) |
|
c. |
(5, 6) |
d. |
None of these |
1 Answer
127 votes
Answer Key / Explanation : (d) -
x2−mx+4=0
[1,5]
(a)D > 0 
m2−16 > 0
m
,−4)
(4,
(b) f(1) 
0
5−m
m
(−
(c) f(5)
0 
29−5m
m
127 votes
Answer Link
127