what is the discriminant of 3x² - 10x = -2?\n76\n94\n106\n124

Explanation:

Step1: Rewrite the equation in standard form

First, rewrite $3x^{2}-10x=- 2$ as $3x^{2}-10x + 2=0$. For a quadratic equation of the form $ax^{2}+bx + c = 0$, here $a = 3$, $b=-10$, $c = 2$.

Step2: Recall the discriminant formula

The discriminant $\Delta$ of a quadratic equation $ax^{2}+bx + c=0$ is given by the formula $\Delta=b^{2}-4ac$.

Step3: Substitute the values of a, b and c

Substitute $a = 3$, $b=-10$, $c = 2$ into the formula: $\Delta=(-10)^{2}-4\times3\times2$.

Step4: Calculate the result

First, $(-10)^{2}=100$, and $4\times3\times2 = 24$. Then $\Delta=100 - 24=76$.

Answer:

76