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X² = 26
solve the equation​

1 Answer

4 votes

Answer:


\large\boxed{\tt x \approx 5.1}

Explanation:


\textsf{We are asked to solve for x in the equation.}


\textsf{Noticed how x is squared, this means we have to square root both sides of the}


\textsf{equation.}


\large\underline{\textsf{How are we able to do so?}}


\textsf{We are able to use the \underline{Properties of Equality}.}


\large\underline{\textsf{What are the Properties of Equality?}}


\textsf{The \underline{Properties of Equality} allow us to manipulate expressions while they are still}


\textsf{equal to each other.}


\large\underline{\textsf{Solving for x;}}


\textsf{We will use the Square Root Property of Equality where we are able to square}


\textsf{root both sides of the equation and both expressions will still be equal to each}


\textsf{other.}


\underline{\textsf{Square Root both sides of the Equation;}}


\tt \sqrt{x^(2) \end{sqrt} = √(26)


\large\boxed{\tt x \approx 5.1}


\textsf{(Rounded to Tenths)}

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