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siniylev [52]
2 years ago
6

Find p and q, if Definition area is [3;10]

Mathematics
1 answer:
miss Akunina [59]2 years ago
5 0

\\ \tt\longmapsto y=\sqrt{-x^2+px+q}

  • Put(3,10)

\\ \tt\longmapsto y^2=-x^2+px+q

\\ \tt\longmapsto 10^2=-(3^)2+3p+q

\\ \tt\longmapsto 100=-9+3p+q

\\ \tt\longmapsto 3p+q=109

  • Use hit and trial method.

Let p,q be (27,28)

Apply

\\ \tt\longmapsto 3(27)+28=81+28=109

Verified

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