SOLUTION: Please help me solve this problem:
Determine the x-intercepts of the curve which has a slope of 2x+1 and passes through (1,-4).
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Determine the x-intercepts of the curve which has a slope of 2x+1 and passes through (1,-4).
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Question 1005854: Please help me solve this problem:
Determine the x-intercepts of the curve which has a slope of 2x+1 and passes through (1,-4). Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! since slope (f'(x)) = 2x + 1
f(x) = x^2 +x + c where c is a constant
now f(x) goes through point (1, -4), then
-4 = 1^2 + 1 + c and c = -6
f(x) = x^2 + x - 6
to find x intercepts set f(x) = 0 and solve for x
x^2 + x -6 = 0
factor polynomial
(x+3) * (x-2) = 0
x intercepts are -3, 2
