Zachary429
28.09.2019 •
Mathematics
Aquadratic function is defined by f(x) = 3x^2 + 4x - 2. a linear function is defined by g(x) = mx-5. what values of the slope of the line would make it a tangent to the parabola?
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Ответ:
Then 3x^2 + 4x -2 = mx - 5
solve 3x^2 + 4x - mx -2 + 5 = 0
3x^2 + (4 - m)x + 3 = 0
In order to there be only one solution (one intersection point) the radicand of the quadratic formula must be 0 =>
b^2 - 4ac = (4 - m)^2 - 4(3)(3) = 0
(4 - m)^2 = 24
4 - m = +/- √(24)
m = 4 +/- √(24) = 4 +/- 2√(6)
Then m, the slope of the line, may be 4 + 2√6 and 4 - 2√6
Ответ:
no solution!