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If x^(2)+ax+b=0 and x^(2)+bx+a=0,(a ne b...

If `x^(2)+ax+b=0` and `x^(2)+bx+a=0,(a ne b)` have a common root, then `a+b` is equal to

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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
  1. The equation x^2+2(gamma+1)x+a(a-4)=0 has negative roots only if gamma...

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  2. The solution-set of x^4-1>0,x in R is .

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  3. If x^(2)+ax+b=0 and x^(2)+bx+a=0,(a ne b) have a common root, then a+b...

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  4. The sum of a number and its reciprocal is (10)/(3), find the number(s)...

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  5. Solve 3^(x-1)+3^(1-x)=2 is

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  6. The number of real solutions of the equation sin (e^x)= 5^x+5^-x

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  7. For the equation x^(3/4(logx)^(2)+log(2)x-5/4)=sqrt2, which one of the...

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  8. The equation x-2//x-1=1-2//x-1 has a. no root b. one root c. two equal...

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  9. If l ,m ,n are real l!=m , then the roots of the equation (l-m)x^2-...

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  10. . For what value of m will the equation (x^2-bx)/(ax-c)=(m-1)/(m+1) h...

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  11. If alphaa n dbeta are the roots of x^2+p x+q=0a n dalpha^4,beta^4 are ...

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  12. If x^2 + mx + 1 = 0 and (b-c)x^2 + (c-a)x + (a-b) =0 have both roots c...

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  13. Solve the equation x^4-4x^2+8x+35=0 gine that one of roots is 2+sqrt(-...

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  14. Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0. Then t...

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  15. If the roots of the equation x^3-12 x^2+39 x-28=0 are in A.P. th...

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  16. If P(x)=ax^2+bx+c, Q(x)=-ax^2+dx+c where ac!=0 then P(x).Q(x)=0 has

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  17. if b^(2)ge4ac for the equation ax^(4)+bx^(2) +c=0 then roots of the e...

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  18. The largest interval for whichx^(12)+x^9+x^4-x+1>0 -4<xlt=0 b. 0<x<1 ...

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  19. IF a^2 + b^2 +c^2 =1 then the range of ab+bc +ca is

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  20. The difference between the roots of the equation x^(2) + kx + 1=0 is ...

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