The coefficients of the polynomial x^4 bx^3 cx^2 dx e are all real numbers, yet the polynomial has four non-real roots. The product of two of the roots is 5 i and the sum of the other two roots is 2-4i. Find the value of c.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5