What values of b satisfy 4(3b + 2)2 = 64?
An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.
Answer: values of b satisfying 4(3b + 2)2 = 64 are b = 2 ,b = -6
An equation is like a weighing balance with equal weights on both sides. If we add or subtract the same number from both sides of an equation, it still holds.
Explanation:
4 (3b + 2)2 = 64
dividing by 4 on both sides, we have
(3b + 2)2 = 16
taking square root on both sides
3b + 2 = ± 4
3b = ± 4 - 2
b = 2 , -6