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Find the values of the parameter a for w...

Find the values of the parameter a for which the roots of the quadratic equation `x^2+2(a-1)x+a+5=0` are
such that exactly one root lies in the interval (1,3)

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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
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  7. Solve the equation (x^2-6x)^2=81+2(x-3)^2

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  8. abs(x^2-3x-4)=9-abs(x^2-1)

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  9. Find the values of 'a' which 4^t-(a-4)2^t+9/4alt0,foralltin(1,2)

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  10. Find values of a for which the quadratic equation 3x^2+2(a^2+1)x+(a^2-...

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  11. For what real 'p' do the roots of x^2-2x-p^2+1=0 lie between the roots...

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  12. Ifax^2-bx+c=0 has two distinct roots lying in the interval (0,1),a,b,c...

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  17. If alpha,beta,gamma are the roots of the equation x^3+x+1=0, then the ...

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  18. alpha,beta are the roots of the equation (a-2)x^2-(5-a)x-5=0.Find 'a' ...

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  19. If f(x) = g(x)^3+xh(x)^3 is divisible by x^2+x+1, then

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