Question

what is the discriminant of $3x^2 - 10x = -2$?
○ 76
○ 94
○ 106
○ 124

Explanation:

Step1: Rewrite to standard quadratic form

$3x^2 - 10x + 2 = 0$

Step2: Identify coefficients $a,b,c$

$a=3,\ b=-10,\ c=2$

Step3: Apply discriminant formula $\Delta=b^2-4ac$

$\Delta=(-10)^2 - 4(3)(2)$

Step4: Calculate the result

$\Delta=100 - 24 = 76$

Answer:

76