Question

What are the solutions of 3x^2 - x +7 =0?

Answer 1

Answer: Option A

`x=(1+√(83)i)/(6)` or
`x=(1-√(83)i)/(6)`

Explanation:

Use the quadratic formula to find the zeros of the function.

For a function of the form

`ax ^ 2 + bx + c = 0`

The quadratic formula is:

`x=(-b\±√(b^2-4ac))/(2a)`

In this case the function is:

`3x^2-x+7=0`

So

`a=3\\b=-1\\c=7`

Then using the quadratic formula we have that:

`x=(-(-1)\±√((-1)^2-4(3)(7)))/(2(3))`

`x=(1\±√(1-84))/(6)`

`x=(1\±√(-83))/(6)`

Remember that
`√(-1)=i`

`x=(1\±√(83)*√(-1))/(6)`

`x=(1\±√(83)i)/(6)`

`x=(1+√(83)i)/(6)` or
`x=(1-√(83)i)/(6)`