Question

I need help with this problem find the discriminant W to the power of 2- W +6=0

Answer 1

The quadratic formula is given by

$x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

and the discriminant is the term inside the square root, that is, the discriminant d is given by

$d=b^2-4ac$

In our case, a=1, b=-1 and c=6. Then, the discriminant is

$d=(-1)^2-4(1)(6)$

which gives

$\begin{gathered} d=1-24 \\ d=-23 \end{gathered}$

therefore, the discriminat is equal to -23