Question

Quadratic Formula?

5x^2 + 2x + 2 =

Answer 1

We have
\[5x^2+2x+2=0\]
Standard quadratic equations
\[ax^2+bx+c=0\]
The roots are given by quadratic formula
\[x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\]
@bigcoxy Can you tell me the value of a, b and c for our equation?

Answer 2

a =5
b=2
c=2

Answer 3

Great:)
so
\[x=\frac{-2\pm \sqrt{(2)^2-4 \times 5 \times 2}}{2 \times 5}\]
we get
\[x=\frac{-2 \pm \sqrt{-36}}{10}\]
we know
\[\sqrt{-1}=i\]
so
\[x=\frac{-2 \pm 6i}{10}\]
we get finally
\[x=\frac{-1\pm 3i}{5}\]