Question

Use the quadratic formula to solve the equation2x^2-1=11xthe solution(s) are/is x=?

Answer 1

`\begin{gathered} x=(1)/(4)(11-\sqrt[]{129}) \\ \\ x=(1)/(4)(11+\sqrt[]{129}) \end{gathered}`

Step-by-step explanation:

To solve the equation we first subtract 11x from both sides to write

`2x^2-11x-1=0`

Now we use the quadratic formula in which a = 2, b = -11, and c = -1

`x=\frac{11\pm\sqrt[]{11^2-4(2)(-1)}}{2\cdot2}`
`x=\frac{11\pm\sqrt[]{11^2-4(2)(-1)}}{2\cdot2}`

which gives

`\begin{gathered} x=(1)/(4)(11-\sqrt[]{129}) \\ x=(1)/(4)(11+\sqrt[]{129}) \end{gathered}`

which are our solutions!