Question

Please select the best answer from the choices provided

Answer 1

B

Explanation:

3x² + 5x + 1 = 0

Quadratic formula: (-5 ± (√(25 - 4*3)))/6

From just this, we can say that B is the answer without any further work, since

1. There are solutions: 25 - 4*3 > 0 (D is incorrect)
2. The 5 is negative (C is incorrect)
3. The whole first part is divided by 6: -5/6 ≠ -5 (A is incorrect)

Answer 2

B.
`x=(-5\pm√(13))/(6)`

Explanation:

We have been given an equation
`3x^2+5x+1=0`. We are asked to solve for x.

We will use quadratic formula to solve our given problem as our given equation is in form
`ax^2+bx+c=0`.

`x=(-b\pm√(b^2-4ac))/(2a)`

Substitute given values:

`x=(-5\pm√(5^2-4(3)(1)))/(2(3))`

`x=(-5\pm√(25-12))/(6)`

`x=(-5\pm√(13))/(6)`

Therefore, the solutions for our given equation are
`x=(-5\pm√(13))/(6)` and option B is the correct choice.