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Solve the equation (x^2-6x)^2=81+2(x-3)^...

Solve the equation `(x^2-6x)^2=81+2(x-3)^2`

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`xin(-sqrt5+1,-2/3]cup[1/2,2]`
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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. Solve the following inequalities : (x^2-2x-1)/(x+1)ltx

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  2. Solve the following inequalities : (x-1)/(x)-(x+1)/(x-1)lt2

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  3. Solve the equation (x^2-6x)^2=81+2(x-3)^2

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  4. Solve log(1/3)(x^2-3x+5)lt-1

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  5. If alpha,beta,gamma are the roots of x^3+ax+b=0, then the value of alp...

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  6. Find the number of redered pairs (x,y) satisfying x^2+1=y and y^2+1=x

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  7. The roots of the quadratic equation 2x^2+3x+1=0 are

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  8. The number of values of 'a' for which (a^2-3a+2)x^2+(a^2-5a+6)x+a^2-4...

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  9. If a and b are integers and 2-sqrt3 is a root of the equation 3x^2+ax+...

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  10. If the sum of the roots of ax^2+bx+c=0 is equal to the sum of their s...

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  11. If x is real number, then the minimum value of x^2+x+1 is

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  12. If alpha and beta are the roots of ax^2+bx+c=0, then the equation ax^2...

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  13. If the quadratic equations ax^2+2cx+b=0 and ax^2+2bx+c=0 (bne0) have a...

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  14. The value of 'a' for which the equation x^3+ax+1=0 and x^4+ax^2+1=0, w...

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  15. The coefficient of 'x' in the quadratic equation ax^2+bx+c=0 was wrong...

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  16. If p and q are the roots of the equation x^2+px+q=0, then

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  17. If one root of the equation x^2+px+12=0 is 4, while the equation x^2+p...

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  18. Ifalpha,beta be the roots of x^2-a(x-1)+b=0,then the value of 1/(alpha...

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  19. If one root of the equation x^2+(1-3i)x-2(1+i)=0is -1+i, then the oth...

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  20. If alpha,beta roots of ax^2+bx+c=0. Find the quadratic equation whose ...

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