Consider the following quadratic equation.
(x+3)^2=43
when taking the square root of both sides of this equation, how many solutions will the equation have? how do you know?

a. the quadratic equation has exactly one real solution. this is because 43 has a unique non- negative square root, called the principal square root.
b. the quadratic equation has two real solutions to the quadratic equation. this is because 43 has two square roots: √43, which is positive, and -√43
c. the quadratic equation does not have any real solutions. this is because √43 is a complex number.
d. the quadratic equation does not have any real solutions. this is because √43 is not a perfect square.

Option B. The quadratic equation has two real solutions to the quadratic equation

Step-by-step explanation:

we have

Take the square root of both sides

so

The quadratic equation has two real solutions

points are handed out whenever you post answers.

brainliest answers are handed out by the person asking the question, so whether your answer is picked depends entirely on whether the asker bothers to pick

if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.