Question

Solve the following equation 0 = -x^2 + 4x - 2

Answer 1

To solve the given equation we will use the quadratic formula:

`x=(-b\pm√(b^2-4ac))/(2a).`

In the given equation:

`\begin{gathered} a=-1, \\ b=4, \\ c=-2. \end{gathered}`

Substituting the above values in the formula, we get:

`x=(-4\pm√(16-4(-1)(-2)))/(2(-1)).`

Simplifying the above result, we get:

`x=(-4\pm√(8))/(-2)=2\pm√(2).`

Answer:

`\begin{gathered} x_1=2-√(2)\approx0.59, \\ x_2=2+√(2)\approx3.41. \end{gathered}`