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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)-4pqx-(p^(2)-q^(2))^(2)=0` is the required quadratic equation.
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUADRATIC EQUATION -PROBLEM SET -18
  1. Two roots of quadratic equations are givne, frame the equation : 1-...

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  2. Two roots of quadratic equations are given, frame the equation. 0 an...

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  3. Determine the nature of roots for each of the quadratic equations. 3...

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  4. Determine the nature of the roots for each of the following quadratic...

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

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

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

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  8. Solve the following quadratic equations: (2x+3)^(2)=25

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  9. Solve the following quadratic equations : m^(2)+5m+5=0

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

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

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  12. Find m, if the quadratic equation (m-12)x^(2)+2(m-12)x+2=0 has real an...

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  13. The sum of two roots of a quadratic equation is 5 and the sum of their...

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

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  15. Mukund possesses RS 50 more than what Sagar possesses. The product of ...

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  16. The difference between the squares of two numbers is 120. The square o...

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

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