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Sum of the roots of a quadratic equation...

Sum of the roots of a quadratic equation is double their product.
Find k if equation is `x^(2)-4kx+k+3=0`.

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The correct Answer is:
k=3
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TARGET PUBLICATION-QUADRATIC EQUATIONS-Practice set 2.5
  1. Form the quadratic equation from the roots given below. 1/2 and (-1)...

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  2. Form the quadratic equation from the roots given below. 2-sqrt(5) an...

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  3. Sum of the roots of a quadratic equation is double their product. Fi...

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  4. alpha, beta are roots of y^(2)-2y-7=0 find, (i) alpha^(2)+beta^(2) "...

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  5. alpha, beta are roots of y^(2)-2y-7=0 find, (i) alpha^(2)+beta^(2) "...

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  6. The roots of the each of the following quadratic equations are real ...

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  7. For what value of k, are the roots of the quadratic equation kx (x-...

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  8. Fill in the gaps and complete. (i)

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  9. Fill in the gaps and complete. (ii)

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  10. Fill in the gaps and complete. (iii)

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  11. Find the value of discriminant. (i) x^2+7x-1=0

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  12. Find the value of discriminant. (ii) 2y^2-5y+10=0

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  13. Find the value of discriminant. (iii) sqrt(2)x^2+4x+2sqrt(2)=0

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  14. Determine the nature of roots of the following quadratic equations. ...

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  15. Determine the nature of roots of the following quadratic equations. ...

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  16. Determine the nature of roots of the following quadratic equations. ...

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  17. Form the quadratic equation from the roots given below. (i) 0 and 4

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  18. Form the quadratic equation from the roots given below. (ii)3 and -1...

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  19. Form the quadratic equation from the roots given below. (iii) 1/2,1/...

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  20. Form the quadratic equation from the roots given below. (iv)2-sqrt(5...

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