what is the discriminant of the quadratic equation 0 = -x² + 4x - 2?\n-4\n8\n12\n24

Explanation:

Step1: Recall discriminant formula

For a quadratic equation $ax^{2}+bx + c = 0$, the discriminant $\Delta=b^{2}-4ac$.

Step2: Identify coefficients

For the equation $0=-x^{2}+4x - 2$, we have $a=-1$, $b = 4$, and $c=-2$.

Step3: Calculate discriminant

Substitute the values into the formula: $\Delta=(4)^{2}-4\times(-1)\times(-2)$. First, calculate $(4)^{2}=16$. Then, $4\times(-1)\times(-2)=8$. So, $\Delta=16 - 8=8$.

Answer:

8