49b²-25=
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Answer:
To solve the equation 49b² - 25 = 0, we can use the difference of squares formula. Let's rewrite the equation as (7b)² - 5² = 0.
Using the difference of squares formula, we can factor this as (7b - 5)(7b + 5) = 0.
Setting each factor equal to zero, we have two possible solutions:
7b - 5 = 0 and 7b + 5 = 0.
Solving the first equation, we add 5 to both sides:
7b - 5 + 5 = 0 + 5
7b = 5
Dividing both sides by 7:
7b/7 = 5/7
b = 5/7
Now, let's solve the second equation:
7b + 5 = 0
Subtracting 5 from both sides:
7b + 5 - 5 = 0 - 5
7b = -5
Dividing both sides by 7:
7b/7 = -5/7
b = -5/7
Therefore, the solutions to the equation 49b² - 25 = 0 are b = 5/7 and b = -5/7.