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

Question

asked Jul 21, 2023 92.2k views

1 Answer

Thomaz Capra · Answer 1 · 2023-07-26T01:34:14+0000

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:

$x=(-4\pm√(8))/(-2)=2\pm√(2).$

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