SOLUTION: Solve the equation. 64k^2-9=0

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Question 109547: Solve the equation.
64k^2-9=0

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

64k%5E2-9=0}.........move -9 to the right
64k%5E2+=+9.......write 64 as 8%5E2, and 9 as 3%5E2
then we will have
8%5E2%2Ak%5E2+=+3%5E2.......
%288k%29%5E2+=+3%5E2.......if exponents are same, bases must be same in order to have equality
8k+=+3....divide both sides by 8
k+=+3%2F8