Respuesta :

Given the equation:

[tex]E=mc^2[/tex]

To solve for c.

First step:

Divide both sides by m

[tex]\begin{gathered} \frac{E}{m}=\frac{mc^2}{m} \\ \\ \frac{E}{m}=c^2 \end{gathered}[/tex]

Second step:

Take the square root of both sides

[tex]\begin{gathered} \sqrt[]{\frac{E}{m}}=\sqrt[]{c^2}^{} \\ \\ \sqrt[]{\frac{E}{m}}=c \\ \\ c\text{ = }\sqrt[]{\frac{E}{m}} \end{gathered}[/tex]

ANSWER:

[tex]c\text{ = }\sqrt[]{\frac{E}{m}}[/tex]

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