Question 779775: Find the points of intersection of the following pair of curves. y=4x^2+66x+283, y=-2x-5
Answer by Cromlix(4381)   (Show Source):
You can put this solution on YOUR website! y=4x^2+66x+283, is a curve
y=-2x-5 is a line.
Points of intersection occur when
4x^2+66x+283 = -2x-5
Collect terms
4x^2 + 68x + 288 = 0
Divide through by 4
x^2 + 17x + 72 = 0
(x + 8)(x + 9) = 0
x = -8
x = -9
Substitute x = -8
into y = - 2x - 5
y = -2(-8) - 5
y = 16 - 5
y = 11
Substitute x = -9
into y = - 2x - 5
y = - 2(-9) - 5
y = + 18 - 5
y = 13
Points of intersection are:
(-8, 11) and (-9, 13)
Hope this helps.
:-)
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