Question

Find the solutions to the following quadric equation 2Xsquared -1x-2=0

Answer 1

Given the quadratic equation:

`2x{}^2-1x-2=0`

We can use the general solution for the quadratic equation ax² + bx + c = 0:

`x=\frac{-b\pm\sqrt{b{}^2-4ac}}{2a}`

From the problem, we identify:

`\begin{gathered} a=2 \\ b=-1 \\ c=-2 \end{gathered}`

Finally, using the general solution:

`\begin{gathered} x=(-(-1)\pm√((-1)^2-4(2)(-2)))/(2\cdot2)=(1\pm√(1+16))/(4) \\ \\ \therefore x=(1\pm√(17))/(4) \end{gathered}`