If both roots of the quadratic equation x^{2}−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 x^{2}−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

x^{2}−mx+4=0

[1,5]

(a)D > 0 m^{2}−16 > 0

m ,−4) (4,

(b) f(1) 0 5−m

m (−

(c) f(5) 0 29−5m

m

127 votes

127