Question

Jonathan must determine the solutions of the quadratic equation0=4x²2²+3x+8.Which of the following is a solution to the equation?OA. 3+√394OB. 3+√134O C. -3-√218OD. -3-√1198

Answer 1

Given:

`0=4x²+3x+8.`

To find:

The solutions.

Step-by-step explanation:

Here,

`\begin{gathered} a=4 \\ b=3 \\ c=8 \end{gathered}`

Using quadratic formula,

`\begin{gathered} x=(-b\pm√(b^2-4ac))/(2a) \\ =(-3\pm√((-3)^2-4(4)(8)))/(2(4)) \\ =(-3\pm√(9-128))/(8) \\ =(-3\pm√(-119))/(8) \\ =(-3\pm i√(119))/(8) \end{gathered}`

Thus, the solution is,

`(-3-i√(119))/(8)`

Final answer:

The correct option is D.

`(-3-i√(119))/(8)`