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Find the two points of intersection

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Curve - y=x^2+1 Line - y=3x-1 Find the two points of intersection of the line and the curve. Calculate the area of the finite region bounded by the parabola and the line.

asked Mar 1, 2014 in ALGEBRA 2 by dkinz Apprentice

2 Answers

0 votes

The curve is image and the line is image.

Substitute the value of image in image.

image

image

image

Factor by grouping.

image

image

Factor : image

Apply zero product property.

image

image.

Substitute the values  of image in image.

image and image.

Therefore, the two points of intersection of the line and curve are image.

Area  image.

image

.

Therefore, area of the finite region bounded by the parabola and the line is 5.5 square units.

answered Apr 10, 2014 by lilly Expert

Area of the finite region bounded by the parabola and the line is 0.16 square units.

0 votes

The curve is image and the line is image.

Substitute the value of image in image.

image

image

image

Factor by grouping.

image

image

Factor : image

Apply zero product property.

image

image.

Substitute the values  of image in image.

image and image.

Therefore, the two points of intersection of the line and curve are image.

Area  image.

image

image

image.

Therefore, area of the finite region bounded by the parabola and the line is 0.16 square units.

answered Apr 10, 2014 by lilly Expert

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