Answered

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Find the solution(s) to[tex]( x + {3})^{2} = 64[/tex]Check all that apply

Find The Solutions Totex X 32 64texCheck All That Apply class=

Sagot :

Explanation

We are given the following:

[tex](x+3)^2=64[/tex]

We are required to determine the solution(s) to the given equation.

This is achieved thus:

[tex]\begin{gathered} (x+3)^2=64 \\ \text{ Square root both sides} \\ \sqrt{(x+3)^2}=\pm\sqrt{64} \\ x+3=\pm8 \\ x+3=8;x+3=-8 \\ x=8-3;x=-8-3 \\ x=5;x=-11 \end{gathered}[/tex]

Hence, the answers are:

[tex]\begin{gathered} x=5 \\ x=-11 \end{gathered}[/tex]

Options A and D are correct.

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