Question

When solving an equation in the form ax2 =c by taking square roots, how many solutions will there be?

a. Two
b. One
c. None

Answer 1

When solving an equation in the form ax2 =c by taking square roots, there will be two solutions unless the equation simplifies to a square of a single term, in which case there will be one solution.

Step-by-step explanation:

When solving an equation in the form ax2 = c by taking square roots, there will be two solutions. This is because when we take the square root of a number, we get both the positive and negative square root.

For example, if we have the equation x2 = 9, we can take the square root of both sides to get x = ±3. So there are two solutions, x = 3 and x = -3.

In general, when solving a quadratic equation by taking square roots, there will be two solutions unless the equation simplifies to a square of a single term, in which case there will be one solution.