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Find all the values of p for which both ...

Find all the values of p for which both roots of the equation `x^2+x+p=0` exceed the quantity p.

A

`[2-((5-sqrt17)/4)]ltplt[2-((5+sqrt17)/4)]`

B

`log_2((5-sqrt17)/4)ltpltlog_2((5+sqrt17)/4)`

C

`log_2((5-sqrt17)/4)ltpltlog_5((5+sqrt17)/4)`

D

`(-5+sqrt17)/4ltplt(5+sqrt17)/4`

Text Solution

Verified by Experts

The correct Answer is:
B
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  13. -p^2+529=0 2q^2-1058=0

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  14. 5p^2-120p+720=0 3q-16=q^2/8

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  15. p^-17161=0 q^2+17161=0

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  16. 225p^2-1740p+2835=0 225q^2+690q-2835=0

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  17. p^4-1296=0 q^2=sqrt (1296)

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  18. p^3-9p^2+18p=0 q^3-q^2=0

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  19. 14p^2+27p+9=0 56q^2-3q-9=0

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  20. p^2-42p-343=0 16/sqrtq+9/sqrtq=5sqrtq

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