Question

find the solutions of the equation 1/2x^2 - x + 5 = 0

Answer 1

Multiply by 2 both the sides fist:

\[x^2 - 2x + 10 = 0\]

Now use the quadratic formula to find x..

Answer 2

\[\frac{1}{2x^2} - x + 5 = 0\]
multiply everything by 2x^2
\[1 - 2x^3 + 5x^2 = 0\]
\[-2x^3 + 5x^2 - 1 = 0\]
factor it out

Answer 3

lol jk..that's not the question

Answer 4

this one really confuses me because my choices have i in them

Answer 5

\[D = b^2 - 4ac\]

D = 4 - 40 = -36

\[x = \frac{-b \pm \sqrt{D}}{2a}\]

So,

\[x = \frac{2 \pm 6i}{2}\]

So,

\[\color{green}{x = 1 + 3i} \qquad Or \qquad \color{blue}{x = 1 - 3i}\]

Answer 6

\[\large \color{red}{\sqrt{-36} = 6i}\]