Question

Solve for b. a = 9b²c

Answer 1

Answer:

           √c

b = ± ---------

            3c

Step-by-step explanation:

Let's first isolate b².  To do this, divide both sides of the given equaion by 9c:

 a

------ = b²

9c

Now take the square root of both sides:

           1

b = ± --------

          3√c

Usually it's best not to have the √  symbol in the denominator.  So, multiply numerator and denominator of the above fraction by √c, obtaining:

           √c

b = ± ---------

            3c

Answer 2

The value of b by solving is $b=\pm \frac{1}{3} \sqrt{\frac{a}{c}}$.

How to find the value of b?

Given expression,

$a=9 b^{2} c$

Consider the given expression $a=9 b^{2} c$

Divide both sides by c, and we have $\frac{a}{c}=9 b^{2}$

Again divide by 9, we have $\frac{a}{9 c}=b^{2}$

Taking square roots on both sides, we have, $\sqrt{\frac{a}{9 c}}=\sqrt{b^{2}}$

Simplify, we have,

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

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

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

Hence, The value of b by solving is $b=\pm \frac{1}{3} \sqrt{\frac{a}{c}}$.

To learn more about the expression

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