On a football pitch, a boy runs east from point P to point Q, and then runs due north to point R. The total distance he has travelled is 92m. If PR=68m, find the possible distances between P and Q.
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quadratic equation
2009-09-24 12:15 am
回答 (1)
2009-09-24 12:33 am
✔ 最佳答案
Let PQ=x km. We have x^2+y^2=68^2 and x+y=92So x^2+(92-x)^2=68^2
2x^2-184x+3840=0
x^2-92x+1920=0
(x-60)(x-32)=0
x=32 or x=60
So, the possible distances between P and Q is 32 km or 60 km
收錄日期: 2021-04-26 13:50:17
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