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Prove that there is unique pair of conse...

Prove that there is unique pair of consecutive positive odd integers such that the sum of their squares is 290 and find it.

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The correct Answer is:
Hence 11 is the only positive odd integer satisfying equation (1).
`therefore 11, 13` is the unique pair of integers which satisfies the given condition.
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-QUADRATIC EXPRESSIONS-TEXTUAL EXERCISES
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  3. Find the roots of the following equations. -x^(2)+x+2=0

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  4. Find the roots of the following equations. 2x^(2)+3x+2=0

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  5. Find the roots of the following equations. sqrt(3)x^(2)+10x-8sqrt(3)...

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  6. Find the roots of the following equations. 6sqrt(5)x^(2)-9x-3sqrt(5)...

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  7. Form quadratic equation whose roots are : 2,5

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  8. Form quadratic equation whose roots are : (m)/(n), (n)/(m) (m ne 0, ...

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  9. Form quadratic equation whose roots are : (p-q)/(p+q), (-p+q)/(p-q),...

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  10. Form quadratic equation whose root 7 pm 2sqrt(5)

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  11. Form quadratic equation whose roots are : -3 pm 5i

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  12. Find the nature of the roots of the following equation, without findin...

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  13. Find the nature of the roots of the following equation, without findin...

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  14. Find the nature of the roots of the following equation, without findin...

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  15. Find the nature of the roots of the following equation, without findin...

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  16. If alpha, beta are the roots of the equation ax^(2)+bx+c=0, find the v...

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  17. If alpha, beta are the roots of the equation ax^(2)+bx+c=0, find the v...

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  18. If alpha, beta are the roots of the equation ax^(2)+bx+c=0, find the v...

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  19. If alpha, beta are the roots of the equation ax^(2)+bx+c=0, find the v...

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  20. If alpha, beta are the roots of the equation ax^(2)+bx+c=0, find the v...

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  21. Find the values of m for which the following equations have equal root...

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