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- If a,b are the roots of x^2 - 10cx-11d = 0 and c,d are roods of x^2- 1...
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- Suppose a in I and the equation (x - a) (x - 5) = 3 has integral roots...
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- If the ratio of the roots of x^2 + bx + c =0 and x^2 + qx + r = 0 is ...
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- If a and b(!=0) are the roots of the equation x^2+ax+b=0 then the leas...
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- If a + b + c = 0 then the quadratic equation 3ax^(2) + 2bx + c = 0 has
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- If a lt b lt c lt d, then the eqution 3(x - a) (x - c) + 5 (x - b) (x ...
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- For real x , the function (x-a)(x-b)//(x-c) will assume all real value...
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- Let a, b, c be real numbers, a != 0. If alpha is a zero of a^2 x^2+bx...
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- If alpha and beta are the ral roots of x ^(2) + px +q =0 and alpha ^(4...
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- The equation x^((3)/4 (log2x)^2+log2 x -(5)/(4))=sqrt(2) has :
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- Let f(x) be a quadratic expression which is positive for all ral x and...
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- If alpha , beta are the roots of the quadratic equation ax^(2) + bx ...
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- If a, b, c in R and the equations ax^(2) + bx + c = 0 and x^(3) + 3x ...
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- Let a, b, c be non-zero real numbers such that ; int0^1 (1 + cos^8 x)(...
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- The number of real solutions of the equation 27^(1//x)+12^(1//x)=2.8...
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- lf 0 < a < b < c < d, then the quadratic equation ax^2 + ...
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- If the equation ax^(2) + 2 bx - 3c = 0 has no real roots and (3c)/(4) ...
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- Suppose a, b, c in R and a ne b . If ax + (b)/(x)+ c, x in R - {0},...
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