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Black Advanced Problems in Mathematics

Exam: Black Advanced Problems in Mathematics
Subject: Mathematics
Chapter: Quadratic Equation

Black Advanced Problems in Mathematics · Mathematics · Quadratic Equation

(A) The least positive integer x , for which (2x - 1)/(2x^3 +...

(A) The least positive integer $x$ , for which $\frac{2x - 1}{2x^3 + 3x^2 + x}$ is positive, is equal to	(P) $4/3$
(B) If the quadratic equation $3x^2 + 2(a^2 + 1)x + (a^2 - 3a + 2) = 0$ possess roots of opposite sign then $a$ can be equal to	(Q) $1$
(C) The roots of the equation $\sqrt{x+3-4\sqrt{x-1}} + \sqrt{x+8-6\sqrt{x-1}} = 1$ can be equal to	(R) $6$
(D) If the roots of the equation $x^4 - 8x^3 + bx^2 - cx + 16 = 0$ are all real and positive then $2(c - b)$ is equal to	(S) $16$
	(T) $10$

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