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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
- For what value of 'm' inR, both roots of the equation x^2-6mx+9m^2-2m+...
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- Find the value(s) of 'a' for which the inequality tan^(2)x+(a+1) t...
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- Find the common root of x^2-3x+2=0 and x^2+x-2=0
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- Find the condition if equations ax^2+bx+c=0 and x^2+2x+3=0 have a comm...
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- If x^2+ax+bc=0 and x^2+bx+ac=0 have a common root, show their other ro...
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- If alpha,beta are the roots x^2+px+q=0 and gamma,delta are the roots o...
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- Find condition if ax^3+bx^2+cx+d=0, has exactly one real root, (a,b,c,...
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- Let P(x)equiv ((x-a)(x-b))/((c-a)(c-b)).c^2+((x-b)(x-c))/((a-b)(a-c))....
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- Solve the equation (x^2-6x)^2=81+2(x-3)^2
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- Show f(x)=x^3+px+q=0 has a repeated root if 4p^3+27q^2=0
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- Show x^5-2x^2+7=0 has atleast two imaginary roots.
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- Solution set of x satisfying abs(x/(x-1))+absx=x^2/abs(x-1) is
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- Solve the equation abs(x-abs(4-x))-2x=4
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- If alpha,beta roots of ax^2+bx+c=0. Find the quadratic equation whose ...
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- If alpha,beta roots of ax^2+bx+c=0. Find the quadratic equation whose ...
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- If alpha,beta roots of ax^2+bx+c=0. Find the quadratic equation whose ...
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- If alpha,beta roots of ax^2+bx+c=0. Find the quadratic equation whose ...
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- Find two negative integers whose difference is 3 and sum of their squa...
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- If alpha and beta are roots of ax^2+bx+c=0 then prove that (alpha/bet...
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- If (p^2+2)x^2+2p^2x+(P^2-4)=0 has root of opposite sign,then find the ...
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