Answer:
1) 6
3) -6
Step-by-step explanation:
You want to solve the equation x² = 36 by the square root method.
Square root method
This method finds the solution by taking the square root of both sides of the equation.
[tex]x^2=36\\\\\sqrt{x^2}=\sqrt{36}\\\\|x|=6\qquad\text{positive square root}\\\\x=\pm6[/tex]
The solutions are x = 6 and x = -6.
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Additional comment
We often "cut to the chase" and write the result of taking the square root as x = ±√36 = ±6. It is worth noting that the square root symbol indicates the positive square root. That's what the absolute value bars also indicate: the positive value of the number.
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