Problem 21
Find the integral part of the greatest root of equation \(x^{3}-10 x^{2}\) \(-11 x-100=0\)
Problem 82
The number of integral values of \(a\) for which the quadratic equation \((x+a)(x+1991)+1=0\) has integral roots are a. 3 b. 0c. 1 d. 2
Problem 95
The number of integral values of \(x\) satisfying \(\sqrt{-x^{2}+10 x-16}
Problem 96
If \(x^{2}+a x-3 x-(a+2)=0\) has real and distinct roots, then minimum value of \(\left(a^{2}+\mathrm{I}\right) /\left(a^{2}+2\right)\) is a. 1 b. 0 c. \(\frac{1}{2}\) d. \(\frac{1}{4}\)