Question

Solve for b.

a = 9b²c



A b=±3ac−−√

B b=±ac√3c

C​ b=±ac√9 ​

D b=±a√3c

Answer 1

Expression: a = 9b²c

b² = a/9c

b = √(a/9c)

b = √a/3√c
Or b = 1/3 √(a/c)

In short, Your Answer would be: Option D

Hope this helps!

Answer 2

`b=\pm(1)/(3)\sqrt{(a)/(c)}`

Explanation:

Given expression
`a=9b^2c`

We have to find the value in terms of b

Consider the given expression
`a=9b^2c`

Divide both side by c, we have

`(a)/(c)=9b^2`

Again divide by 9 , we have

`(a)/(9c)=b^2`

Taking square root both side, we have,

`\sqrt{(a)/(9c)}=√(b^2)`

Simplify , we have,

`\sqrt{(a)/(9c)}=b`

We know
`√(9)=\pm 3`

Thus,
`b=\pm(1)/(3)\sqrt{(a)/(c)}`