X² = 26 solve the equation

Question 1

X² = 26
solve the equation

Question 2

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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