Question

Which are solutions to the equation x3 – 5x2 + 2x + 6 = 0? Round each solution to the nearest tenth. Check all that apply. X = –0.9 x = 0.8 x = 1.7 x = 4.2 x = 6.0

Answer 1

-0.9, 1.7, and 4.2

Explanation:

Answer 2

Given equation is
`x^3-5x^2+2x+6=0`

Usually we solve this type of problem by factoring but this equation is not factorable. If we solve by grouping then also we are not getting any common factor. So factoring method is not going to help. I this type of situation we may use graphing calculator. From graph we just need to pick those points where graph crosses the x-axis. Those values will be the final answer.

Using graphing calculator we see that there are three solutions at x=-0.856, x=1.678, x=4.177 which are approx x=-0.8, x=1.7 and x=4.2

Hence final answers are x=-0.8, x=1.7 and x=4.2.