Theory of Equations 1 Question 5
6. The number of integral values of
(a) 6
(b) 8
(c) 7
(d) 3
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Solution:
- The quadratic expression
if
So, the quadratic expression
always positive, if
and
From inequality Eq. (i), we get
From inequality Eq. (ii), we get
From inequalities Eqs. (iii) and (iv), the integral values of
Hence, the number of integral values of
