Question

8x=-4-4x^2 x= is what

Answer 1

We have the equation:

`8x=-4-4x^2`

We want to find the values of x that satisfy the equation.

We can see the equation corresponds to a parabola, and this is the equation of the roots, so re write the equation in the standard form and find the roots:

`\begin{gathered} 0=-4x^2+8x-4 \\ \text{Dividing all by -4:} \\ 0=x^2-2x+1=(x-1)^2 \end{gathered}`

So the equation above has a solution when x=1, and it's the unique solution.