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Determine that whether there is any comm...

Determine that whether there is any common root exists between the following quadratic equations `x^2-8x+15=0x^2-9x+18=0`

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QUANTUM CAT-THEORY OF EQUATIONS-QUESTION BANK
  1. If one root of a quadratic equation is -2. At x= -5,y=27 and x = 7,...

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  2. If one root of a quadratic equation is -2. At x= -5,y=27 and x = 7,...

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  3. Determine that whether there is any common root exists between the fol...

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  4. Determine the value of the common root of the quadratic equations: x^...

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  5. If the equations x^2+bx+c=0 and x^2+dx+e=0 have a common root, which o...

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  6. If the equations x^2+px+q=0 and x^2+qx+p=0 have a common root, which ...

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  7. If the equations x^2+bx+c=0 and x^2+dx+e=0 have a common root, which o...

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  8. Find the value of m if the equations x^2+2x+3m=0 and 2x^2+3x+5m=0 h...

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  9. For any real numbers a, b and c the equations ax^2+bx+c=0 and bx^2+c...

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  10. If the equation x^2-a1x+b1=0 and. x^2-a2x+b2=0, have one root in commo...

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  11. If the equations x^(2) -px +q=0 and x^(2)+qx-p=0 have a common root, t...

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  12. Find the value of q/p , if px^2+x-15=0 and 18x^2+3x+q=0 have both the ...

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  13. If the equation x^2+px+qr=0 and x^2+qx+rp=0 have a common root, the ot...

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  14. If agt0 and roots are 5+2i and 5-2i, determine the natureof-the quad...

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  15. For a quadratic equation, alt0 and b^2=4ac, determine the nature of ...

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  16. For a quadratic equation 10x^2+x-21=0 , what is sign of the function f...

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  17. Find the sign of 6x^(2)-5x+1 for all real value of x.

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  18. Find the values of x for the following inequations. 3x^2-3x-6le0

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  19. Find the values of x for the following inequations. 3x^2-3x-6lt0

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  20. Find the values of x for the following inequations. 3x^2-3x-6ge0

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