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Find quadratic equation such that its ro...

Find quadratic equation such that its roots are square of sum of the roots and square of difference of the roots of equation `2x^(2)+2(p+q)x+p^(2)+q^(2)=0`

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The correct Answer is:
`x^2-(4pq)x-(p^2-q^2)=0`.
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TARGET PUBLICATION-QUADRATIC EQUATIONS-probelm set - 2
  1. Two roots of quadratic equations are given, frame the equation. 10 a...

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  2. Two roots of quadratic equations are given: frame the equation. (ii)...

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  3. Two roots of quadratic equations are given: frame the equation. (iii...

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  4. Determine the nature of roots for each of the quadratic equation. (i...

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  5. Determine the nature of roots for each of the quadratic equation. (i...

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  6. Determine the nature of roots for each of the quadratic equations. m...

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  7. Solve the following quadratic equations. (i) 1/(x+5)=1/(x^2)

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  8. Solve the following quadratic equations. (ii) x^2-(3x)/(10)-1/10=0

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  9. Solve the following quadratic equations. (iii) (2x+3)^2=25

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  10. Solve the following quadratic equations. (iv) m^2+5m+5=0

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  11. Solve the following quadratic equations. (v) 5m^2+2m+1=0

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  12. Solve the following quadratic equations : x^(3)-4x-3=0

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  13. Find m if (m-12)x^2+2(m-12)x+2=0 has real and equal roots.

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  14. The sum of two roots of a quadratic equation is 5 and sum of their cub...

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  15. Find quadratic equation such that its roots are square of sum of the r...

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  16. Mukund possesses Rs. 50 more than what Sagar possesses. The product of...

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  17. The difference between squares of two numbers is 120. The square of ...

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  18. Ranjana wants to distribute 540 oranges among some students. If 30 stu...

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  19. Mr. Dinesh owns an agricultural farm at village Talvel. The length of ...

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  20. A tank fills completely in 2 hours if both the taps are open. If only ...

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