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If x-=2+^(2//3)"then the value"(x^(3)-6x...

If `x-=2+^(2//3)"then the value"(x^(3)-6x^(2)+6x)is`

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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
  1. Fill in the blanks If x<0,y<0,x+y+(x//y)=(1//2)a n d(x+y)(x//y)=-(1//2...

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  2. The number of real solutions of the equation |x^2|-3|x|+2=0 is .

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  3. If x-=2+^(2//3)"then the value"(x^(3)-6x^(2)+6x)is

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  4. The AM of the roots of x^2-12x+3=0 is .

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  5. The GM of the roots of x^3-6x^2+11x-6=0 is .

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  6. The quadratic equation whose roots are twice the roots of x^2-3x+3=0 i...

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  7. The quadratic equation whose roots are 2 more than the roots of ax^2+b...

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  8. If alpha,beta are roots of ax^2+2bx+c=0 then sqrt(alpha/beta)+sqrt(bet...

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  9. if 2 = I sqrt3 be a root of the equation x^(2) + px + q =0, where p ...

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  10. The value of sqrt(2+sqrt(2+sqrt(2+......oo is .

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  11. If the roots of x(3-x^2)+2x^2=0 are alpha,beta,gamma then the value of...

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  12. If the roots of 4-3x+5x^2+x^3=0 are alpha,beta,gamma then the value of...

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  13. The equation x^2+2(gamma+1)x+a(a-4)=0 has negative roots only if gamma...

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

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

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

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

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

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

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