Question

How do you solve `x^{2}+9x+12=5x+6`?

Answer 1

`x=-sqrt2(i+sqrt2) and sqrt2(i-sqrt2))`

Explanation:

`x^2+9x-5x+12-6=0`
`x^2+4x+6=0`
`x=(-b+-sqrt(b^2-(4ac)))/(2a)`
`x=(-4+-sqrt(16-(4*6)))/2`
`x=-2+-sqrt-2`
`=(-2-isqrt2) and (-2+isqrt2)`