Question

Solve for x: (x-5)^2 = 49​

Answer 1

Answer:
`x=12, -2`

Explanation:

`(x-5)^(2)=49`

F.O.I.L the binomial

`x^2-10x+25=49`

Set to 0

`x^2-10x+25_(-49) =49_(-49)`

`x^2-10x-24=0`

Factor the polynomial

`(x-12)(x+2)`

Set to 0 and Inverse operations

`(x-12)=0\\x=12`

Set to 0 and Inverse operations

`(x+2)=0\\x=-2`

Answer:

`x=12, -2`