SOLUTION: the line x+3y=1 intersects the curve 5y=20-3x-x^2 at point P & Q. calculae the length of PQ

SOLUTION: the line x+3y=1 intersects the curve 5y=20-3x-x^2 at point P & Q. calculae the length of PQ

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Question 944734: the line x+3y=1 intersects the curve 5y=20-3x-x^2 at point P & Q. calculae the length of PQ
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Substitute,

So then,

and

Solving for x in each case,

and

So the two intersection points are
(-5,2) and (11/3,-8/9)
Use the distance formula,

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