Question

find the discriminant. 8x^{2}+5x + 8 = 0

Explanation:

Step1: Identify coefficients

For the quadratic equation $ax^{2}+bx + c = 0$, here $a = 8$, $b = 5$, $c = 8$.

Step2: Recall discriminant formula

The discriminant $\Delta=b^{2}-4ac$.

Step3: Substitute values

$\Delta=(5)^{2}-4\times8\times8=25 - 256$.

Step4: Calculate result

$\Delta=- 231$.

Answer:

$-231$