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

Question

asked Oct 24, 2020 180k views

1 Answer

Duray · Answer 1 · 2020-10-27T13:41:30+0000

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)