Question

Solve x^2+6x+9=0 by completing the square

Answer 1

`-3`

Explanation:

`x^2+6x+9=0`

`x_(1,\:2)=(-6\pm √(6^2-4\cdot \:1\cdot \:9))/(2\cdot \:1)`

`6^2-4\cdot \:1\cdot \:9`

`4*1=4\\4*9=36`

`6^2=36`

`36-36=0`

`x_(1,\:2)=(-6\pm √(0))/(2\cdot \:1)`

`x=(-6)/(2\cdot \:1)`

`(-6)/(2\cdot \:1)`

`2*1=2`

`(-6)/(2)`

`x=-3`

`\mathrm\:{The\:solution\:to\:this\:equation\:is\:-3}`