What are the solutions to m² - 9 = 0?
m = -9 and m = 0, m = -3 and m = 3, m = -3, m = 9

Solution:

Given equation is m² - 9 = 0

=> m² = 9

=> Applying square root on both sides 

=> √m² = √9

=> m = √(3)(3)

=> m = (±)3

Aliter:

m² - 9 is the difference of squares and a²-b² = (a+b) (a-b)

m² - 9 = (m+3)(m-3)

Given equation is m² - 9 = 0

Thus  (m+3)(m-3) = 0

m+3 = 0 and m-3 = 0

Thus m = 3, -3

=> ∴ m = 3 and m = -3 (Ans)

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What are the solutions to m² - 9 = 0? m = -9 and m = 0, m = -3 and m = 3, m = -3, m = 9

Summary:

The solutions to the equation m² - 9 = 0 are m = 3 and m = -3.