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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
- The even root of the equation greater than 2 of (x-2)^6+(x-4)^6 =64 is
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- If alpha and beta are the distinct roots of the equation x^2-p(x+1)-b=...
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- The number of non-zero solutions of the equation,x^2-5x-(sgn)6=0 is
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- If the equation x^2+2(k+1)x+9k-5=0 has only negative roots, then the ...
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- If P(x) = ax^2+bx+c, and Q(x) = -ax^2+dx+c, acne 0, then prove that P(...
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- If,alpha be the root of equation ax^2+bx+c=0 and beta be root of -ax^2...
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- Let x,y,z be real variable satisfying the equations x+y+z=6 and xy+yz+...
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- If one root of the quadratic equation ax^2+bx+c=0 is equal to the n^th...
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- Find all real values of a for which the equation x^4+(a-1)x^3+x^2+(a-...
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- Solve the equation (x+2)(x+3)(x+8)(x+12)=4x^2
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- Solve the equation x^(logx(x+3)^2 )=16
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- If x is real, find the values of k for which abs(x^2+kx+1)/abs(x^2+x+1...
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- Let S be the set of all non-zero real numbers alpha such that the quad...
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- Let alpha and beta be the roots of the equation x^2-6x-2=0. If an=alph...
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- If alpha,beta are the roots of x^2-px+1=0 and gamma is a root of x^2+p...
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- The quadratic expression (2x+1)^2-px+qne0 for any real x if
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- Given that x is a real number satisfying (5x^2-26x+5)/(3x^2-10x+3)lt0,...
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- Let f : R to R be defined as f(x) =(x^2-x+4)/(x^2+x+4). Then the range...
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- If 2 + i and sqrt5-2i are the roots of the equation (x^2+ax+b)(x^2+cx+...
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- Which of the following is/are always false ?
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