Question

2m² +2m- 24=0
Alguien me podría ayudar a decirme gracias .

Answer 1

Required Answer:-

`{:}\longrightarrow`
`\sf 2m^2+2m-24=0`

`{:}\longrightarrow`
`\sf 2m^2-6m+4m-24=0`

`{:}\longrightarrow`
`\sf 2m (m-6)+4 (m-6)=0`

`{:}\longrightarrow`
`\sf (2m+4)(m-6)=0`

`{:}\longrightarrow`
`\sf (2m+4)=0{\quad}or\: (m-6)=0`

`{:}\longrightarrow`
`\sf 2m=-4=0 {\quad}or\: m=6`

`{:}\longrightarrow`
`\sf m={\frac {4}{-2}}{\quad}or\: m=6`

`{:}\longrightarrow`
`\sf m=-2 {\quad} or\:m=6`

`\therefore`
`{\underline{\boxed{\bf m=-2,6}}}`