Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

What values of b satisfy 4(3b + 2)^2 = 64?

Sagot :

Answer:

The value of 0 can satisfy b.

Step-by-step explanation:

4(3b + 2)^2 = 64

(12b + 8)^2 = 64

(12b + 8)^2 = 64

144b + 64 = 64

144b + 64 - 64 = 64 - 64

144b = 0

144b / 144 = 0 / 144

b = 0

So, the value of 0 can satisfy b.

lalalavashti120

Answer:

b = [tex]\frac{2}{3}[/tex] or b = -2

Step-by-step explanation:

4(3b + 2)^2 = 64

Divide by 4 on both sides

(3b + 2)^2 = 16

Square root both sides

√(3b + 2)^2 = √16

3b + 2 = ±4

Subtract 2 on both sides

3b = ±4 - 2

Divide by 3 on both sides

b = (±4 - 2)/3

If 4 is positive, b is [tex]\frac{2}{3}[/tex]

If 4 is negative, b is -2

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.