Arbitrary Function
September 30th, 2009
No comments
Let f be the function given by f(x)= 3x^2 + bx +6, where b is an arbitrary constant.?
For which value(s) of b does f(x) have exactly one real root?
possible answers.
±8.485
±8.480
72
±4.243
±4.240
f(x)= 3x^2 + bx +6
f(x) = 0 when: [- b +- Sq Rt(b^2 - 4*3*6)]/2*3
[- b +- Sq Rt(b^2 - 72)]/6
Sq Rt 72 = +- 8.485
If – 8.485 > b > 8.485
then Sq Rt(b^2 – 72) will be a Sq Rt from a negative number, which does not exist.
any number from – 8.485 up yo 8.485 will give you an answer.
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