3. Find the points of intersection of the parabola ²-4x+y=0 and the line-2x+y=-3
Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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3. Find the points of intersection of the parabola ²-4x+y=0 and the line-2x+y = -3
Expert Solution
Step 1
Let the co-ordinate of the intersection point be (x, y).
Then (x, y) lies both on the parabola and the straight line.
As the point (x, y) lies on the straight line -2x + y = -3, thus,
y = 2x - 3. . . . . (I)
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