Question

What are the solutions to
(m +11)2 = 64?

Answer 1

(21 + 11)2 = 64

So, I don't think teachers do this, but this is my way of doing it

Okay, so first, I divided 64 by 2 :

64 ÷ 2 = 32

Then, I subtracted 11 from 32:

21

Now, to check, just do the problem :

(21 + 11)2 = 64

32 * 2 = 64

Answer 2

The solutions are:

`m=-3,\:m=-19`

Explanation:

Given the expression

`\left(m\:+11\right)^2=\:64`

`\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=√(f\left(a\right)),\:\:-√(f\left(a\right))`

solving

`m+11=√(64)`

`m+11=√(8^2)`

`m+11=8` ∵
`√(8^2)=8`

Subtract 11 from both sides

`m+11-11=8-11`

Simplify

`m=-3`

now solving

`m+11=-√(64)`

`m+11=-√(8^2)`

`m+11=-8` ∵
`√(8^2)=8`

Subtract 11 from both sides

`m+11-11=-8-11`

Simplify

`m=-19`

Thus, the solutions are:

`m=-3,\:m=-19`