Question

Solve using quadratic formula:3k^2 - k - 7 = 0

Answer 1

The solution to the given quadratic equation is:

k = 17.03, -1.37

Step-by-step explanation:

Given the equation:

`3k^2-k-7=0`

Solving this using the quadratic formula, we have:

`\begin{gathered} k=\frac{-(-1)\pm\sqrt[]{(-1)^2-4(3)(-7)}_{}}{2(3)} \\ \\ =\frac{1\pm\sqrt[]{1+84}}{6} \\ \\ =\frac{1\pm\sqrt[]{85}}{6} \end{gathered}`

Therefore,

`\begin{gathered} k=\frac{1+\sqrt[]{85}}{6} \\ \\ =17.03 \end{gathered}`

OR

`\begin{gathered} k=\frac{1-\sqrt[]{85}}{6} \\ \\ =-1.37 \end{gathered}`