Probability of Root Placement

Algebra Level 4

kk is uniformly chosen from the interval [5,5][ -5, 5] . Let pp be the probability that the quadratic f(x)=x2+kx+1 f(x) = x^2 + kx + 1 has both roots between -2 and 4. What is the value of 1000p \lfloor 1000 p \rfloor ?

Details and assumptions

Greatest Integer Function: x:RZ\lfloor x \rfloor: \mathbb{R} \rightarrow \mathbb{Z} refers to the greatest integer less than or equal to xx. For example 2.3=2\lfloor 2.3 \rfloor = 2 and 3.4=4\lfloor -3.4 \rfloor = -4.

×

Problem Loading...

Note Loading...

Set Loading...