Answer:
k = ± [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
given the equation
36k² - 25 = 0 ( add 25 to both sides )
36k² = 25 ( divide both sides by 36 )
k² = [tex]\frac{25}{36}[/tex] ( take square root of both sides )
[tex]\sqrt{k^2}[/tex] = ± [tex]\sqrt{\frac{25}{36} }[/tex] , that is
k = ± [tex]\frac{\sqrt{25} }{\sqrt{36} }[/tex] = ± [tex]\frac{5}{6}[/tex]
k = - [tex]\frac{5}{6}[/tex] , k = [tex]\frac{5}{6}[/tex]
