Solve the equation by finding square roots.40b Superscript 2equals10Question content area bottomPart 1Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.A.bequalsenter your response here ​(Simplify your answer. Use a comma to separate answers as​ needed.)B.The solution is not a real number.

Answer 1

To solve the equation \( 40b^2 = 10 \), we first isolate \( b^2 \) by dividing both sides of the equation by 40:

\[ b^2 = \frac{10}{40} \]

This simplifies to:

\[ b^2 = \frac{1}{4} \]

Next, we take the square root of both sides. Remember that taking the square root of both sides gives us both the positive and negative square roots:

\[ b = \pm \sqrt{\frac{1}{4}} \]

Calculating the square root, we have:

\[ b = \pm \frac{1}{2} \]

Thus, the solutions for \( b \) are:

\[ b = \frac{1}{2}, -\frac{1}{2} \]

So, the correct choice is:

A. \( b = \frac{1}{2}, -\frac{1}{2} \)

You would enter these values separated by a comma.