Question

Does someone knows how to solve this. Step by step?

Completing the Square:

x^2-6x=15​

Answer 1

`x_1=3+2√(6)`

`x_2=3-2√(6)`

Explanation

`\rule{100mm}{0.5mm}`

`x^2-6x=15`

`x^2-6x+\left((6)/(2)\right)^2-\left((6)/(2)\right)^2=15`

`x^2-6x+3^2=15+3^2`

`x^2-6x+9=15+9`

`(x-3)^2=24`

`√((x-3)^2) =√(24)`

`x-3=\pm2√(6)`

`\red{\boxed{x_1=3+2√(6)}}`

`\red{\boxed{x_2=3-2√(6)}}`

`\rule {100mm}{0.5mm}`