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Find the value of k for which the equati...

Find the value of k for which the equation `x^(2)-2(1+3k)x+7(3+2k)=0` has two equal roots, which are real.

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VK GLOBAL PUBLICATION-QUADRATIC EQUATIONS-PROFICIENCY EXERCISE Short Answer Questions-II
  1. Determine the condition for the roots of the equation ax^(2)+bx+c=0 to...

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  2. Show that the equation 2(a^2+b^2)x^2+2(a+b)x+1=0 has not real roots, w...

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  3. Find the value of k for which the equation x^(2)-2(1+3k)x+7(3+2k)=0 ha...

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  4. Find the roots of the equation: x^2+200x+9975=0

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  5. If 1 is a root of the quadratic equation x^(2)+px-2=0 and the quadrati...

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  6. Find the non-zero value of k for which the quadratic equations kx^2+1-...

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  7. Find whether the following equations have real roots. If real roots ex...

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  8. Find whether the following equations have real roots. If real roots ex...

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  9. Find whether the following equation have real roots. If real roots exi...

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  10. Find whether the following equations have real roots. If real roots ex...

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  11. Find whether the following equations have real roots. If real roots ex...

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  12. Find whether the following equations have real roots. If real roots ex...

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  13. Solve for x: (x-3)/(x-4)+(x-5)/(x-6)=(10)/(6),xne4,6

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  14. Solve: (x-2)/(x-3)+(x-4)/(x-5)=3(1)/(3),xne3,5.

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  15. 3((3x-1)/(2x+3))-2((2x+3)/(3x-1))=5, x!=1/3,-3/2

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  16. The sum of the squares of two consecutive even numbers is 244. Find th...

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  17. Solve for : 2/(x+1)+3/(2(x-2))=(23)/(5x);x!=0,-1,2

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  18. The difference of two natural numbers is 5 and the difference of their...

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  19. Find a natural number whose square diminished by 84 is equal to thrice...

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  20. A two digit number is such that the product of its digits is 18. When ...

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