Question

find the discriminant.
$v^{2}-2v + 7 = 0$

Explanation:

Step1: Recall discriminant formula

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

Step2: Identify coefficients

In the equation $v^{2}-2v + 7=0$, we have $a = 1$, $b=-2$, and $c = 7$.

Step3: Calculate discriminant

Substitute the values into the formula: $\Delta=(-2)^{2}-4\times1\times7$.
$\Delta = 4 - 28=-24$.

Answer:

$-24$