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SIA PUBLICATION-QUADRATIC EXPRESSIONS AND THEORY OF EQUATIONS -Problems
- If the roots of the equation 4x^(3)-12x^(2)+11x+k=0 are in arithmetic ...
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- the set of all solutions of the inequation x^2-2x +5 le 0 in ...
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- alpha , beta, gamma are the roots of the equation x^(3)-10x^(2)+7x+8=0...
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- If f(x) is a polynomial of degree 'n' with rational co-efficients and ...
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- The solution set contained in R of the inequation 3^(x)+3^(1-x)-4 lt0,...
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- If alpha, beta , gamma are the roots of the equation x^(3)+4x+1=0, the...
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- If the sum of the roots of x^(3)+px^(2)-qx+r=0 is zero, then pq is equ...
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- Let a !=0, and p(x) be a polynomial of degree greater than 2. If p(x) ...
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- If the equations x^(2)+ax+b=0 and x^(2)+bx+a=0 (a != b) have a common ...
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- If 3 is a root of x^(2)+kx-24=0, it is also a root of
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- To remove the second term of the equation x^(4)-8x^(3)+x^(2)-x+3=0, di...
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- The maximum possible number of real roots of the equation x^(5)-6x^(2)...
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- If alpha, beta, gamma are the roots of the equation x^(3)+ax^(2)+bx+c=...
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- If (1+sqrt(3)i)/(2) is a root of the equation x^(4)-x^(3)+x-1=0 then i...
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- If alpha, beta , gamma are the roots of 2x^(3)-2x-1=0, ( Sigma alpha b...
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- If alpha, beta are roots of the equation x^(2)+bx+c=0 and alpha+h, bet...
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- Each of the roots of the equation x^(3)-6x^(2)+6x-5=0 are the increase...
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- The roots of the equation x^(3)-14x^(2)+56x-64=0 are in
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- If 1 is multiple root of order 3 for the equation x^(4)-2x^(3)+2x-1=0,...
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- The biquadratic equation, two of whose roots are 1+i,1-sqrt(2) is
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