Answer:
The correct answer option is B. 2 = 3x + 10x^2
Step-by-step explanation:
We are to determine whether which of the given equations in the answer options can be solved using the following expression:
[tex]x=\frac{-3 \pm\sqrt{(3)^2+4(10)(2)} }{2(10)}[/tex]
Here, [tex]a = 10, b = 3[/tex] and [tex]c=-2[/tex].
These requirements are fulfilled by the equation 4 which is:
[tex]12=3x+10x^2[/tex]
Rearranging it to get:
[tex]10x^2+3x-2=0[/tex]
Substituting these values of [tex]a,b,c[/tex] in the quadratic formula:
[tex]x= \frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]
[tex]x= \frac{-3 \pm\sqrt{(3)^2-4(10)(-2)} }{y}[/tex]
