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

Answer:

$b=\pm\frac{1}{3}\sqrt{\frac{a}{c}}$

Step-by-step 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

$\frac{a}{c}=9b^2$

Again divide by 9 , we have

$\frac{a}{9c}=b^2$

Taking square root both side, we have,

$\sqrt{\frac{a}{9c}}=\sqrt{b^2}$

Simplify , we have,

$\sqrt{\frac{a}{9c}}=b$

We know $\sqrt{9}=\pm 3$

Thus, $b=\pm\frac{1}{3}\sqrt{\frac{a}{c}}$