Answer:
The correct answer option is B. 2 = 3x + 10x^2
Explanation:
We are to determine whether which of the given equations in the answer options can be solved using the following expression:
![x=(-3 \pm√((3)^2+4(10)(2)) )/(2(10))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/g6qdvgscnxy420mhdakvc0w1sozzd47y0j.png)
Here,
and
.
These requirements are fulfilled by the equation 4 which is:
![12=3x+10x^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/to6h27pzraw1eta44tpliub0e6simfxcw8.png)
Rearranging it to get:
![10x^2+3x-2=0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/weoxhsj1wf3ewvf8g9ybxs4muh4rflwbyl.png)
Substituting these values of
in the quadratic formula:
![x= (-b \pm √(b^2-4ac) )/(2a)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ojtei32z9wohwhy1gdp8aguhkfubbxq8hl.png)
![x= (-3 \pm√((3)^2-4(10)(-2)) )/(y)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2du3eqve86o39c4a5jtueuoti9rjck8dwv.png)