Question

Solve for x in the equation x² + 2x + 1 = 17

Answer 1

The solution of x are
`x=-1+√(17)` and
`x=-1-√(17)`

Explanation:

We are given
`x^2+2x+1=17`

We need to solve for x.

First we move 16 to left side ans then factor it

`x^2+2x+1-17=0`

`x^2+2x-16=0`

Using quadratic formula,

`x=(-b\pm√(b^2-4ac))/(2a)`

`x=(-2\pm√(4+64))/(2)`

`x=(-2\pm2√(17))/(2)`

`x=-1\pm√(17)`

Thus, The solution of x are
`x=-1+√(17)` and
`x=-1-√(17)`