You can
put this solution on YOUR website! How do I solve for b?
16b-squared - 9 = 0
16b2 - 9 = 0
Two ways. Factoring method:
16b2 - 9 = 0
can be written as
(4b)2 - 32 = 0
This is the difference of two perfect squares. The difference of two perfect
squares factors into the product of the sum and differencve of the two square
roots.
(4b - 3)(4b + 3) = 0
Now use the zero-factor principle, which is to put " = 0 " after each of those
two parenthetical factors and solve for the two answers:
4b - 3 = 0 4b + 3 = 0
4b = 3 4b = -3
b = 3/4 b = -3/4
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Second way: Taking square roots:
16b2 - 9 = 0
Add 9 to both sides
16b2 = 9
Take the square roots of both sides, remembering that there are
two square roots.
_
square roots of 16b2 = ±Ö9
4b = ±3
b = ±3/4
Edwin
AnlytcPhil@aol.com