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Need help with a quadratic equation problem?
the answer is { -1 + 4i, -1 - 4i} but i don't understand how to solve the problem.
it's: x + 2 + 17/x = 0
use the quadratic equation to solve.
please express the answer in simplest a + bi form
i'll give best answer to whoever does it correctly :)
4 Answers
- DavidK93Lv 71 decade agoFavorite Answer
Start by introducing a false root of x = 0 by multiplying every term by x. Now you have x^2 + 2x + 17 = 0, and you can use the quadratic formula as you would for any quadratic equation. Before accepting the answers you get, you should check them in the original equation; multiplying through by x can introduce a false solution.
- 1 decade ago
this problem all you need to do is put together like terms and then solve for x.
x^2/x+2x/x+17/x=0
multiply everything by x so you end up with x2+2x+17=0
then you use the quadratic formula (-b+-(b^2-4ac)^1/2)/2a
so
(-2+-(2^2-4(1)(17))^1/2)/2(1) you are going to get (-64)^1/2=8i
(-2+-(8i))/2 this when simplified is equal to your answer of
-1 + 4i, -1 - 4i
hope this helps
- normanLv 71 decade ago
x^2 + 2x + 17 = 0
use the quad formula
x = (-2 +/- sqrt(4 - 4(17)) )/ 2
= (-2 +/- sqrt(-64))/2
=(-2 +/- 8i)/2
=-1 + 4i, -1 - 4i
