what is the discriminant of 9x² + 2 = 10x?\n-356\n-172\n28\n72

Explanation:

Step1: Rewrite equation in standard form

First, rewrite $9x^{2}+2 = 10x$ as $9x^{2}-10x + 2=0$. For a quadratic equation $ax^{2}+bx + c = 0$, here $a = 9$, $b=-10$, $c = 2$.

Step2: Use discriminant formula

The discriminant formula is $\Delta=b^{2}-4ac$. Substitute $a = 9$, $b=-10$, $c = 2$ into the formula: $\Delta=(-10)^{2}-4\times9\times2$.

Step3: Calculate the value

$\Delta = 100 - 72=28$.

Answer:

C. 28