Question

What is the solution to 2x^2+x+2=

Answer 1

2x2 + x + 2

Explanation:

Answer 2

For this case we have the following equation:

`2x ^ 2 + x + 2 = 0`

The roots will be given by:

`x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}`

Where:

`a = 2\\b = 1\\c = 2`

Substituting the values:

`x = \frac {-1 \pm \sqrt {1 ^ 2-4 (2) (2)}} {2 (2)}\\x = \frac {-1 \pm \sqrt {1-16}} {4}\\x = \frac {-1 \pm \sqrt {-15}} {4}\\x = \frac {-1 \pm i \sqrt {15}} {4}`

We have two roots:

`x_ {1} = \frac {-1 + i \sqrt {15}} {4}\\x_ {2} = \frac {-1-i \sqrt {15}} {4}`

ANswer:

`x_ {1} = \frac {-1 + i \sqrt {15}} {4}\\x_ {2} = \frac {-1-i \sqrt {15}} {4}`