Respuesta :

xxsunshine2008xx

Answer:

(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

absor201

Answer:

The solutions are:

[tex]m=-3,\:m=-19[/tex]

Step-by-step explanation:

Given the expression

[tex]\left(m\:+11\right)^2=\:64[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

solving

[tex]m+11=\sqrt{64}[/tex]

[tex]m+11=\sqrt{8^2}[/tex]

[tex]m+11=8[/tex]        ∵ [tex]\sqrt{8^2}=8[/tex]

Subtract 11 from both sides

[tex]m+11-11=8-11[/tex]

Simplify

[tex]m=-3[/tex]

now solving

[tex]m+11=-\sqrt{64}[/tex]

[tex]m+11=-\sqrt{8^2}[/tex]

[tex]m+11=-8[/tex]      ∵ [tex]\sqrt{8^2}=8[/tex]

Subtract 11 from both sides

[tex]m+11-11=-8-11[/tex]    

Simplify

[tex]m=-19[/tex]

Thus, the solutions are:

[tex]m=-3,\:m=-19[/tex]