Question
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?
(x+3)^2=43
When taking the square root of both sides of this equation, how many solutions will the equation have?
Answers
GPT 3.5
The equation (x+3)^2 = 43 can be rewritten as x+3 = ±√43, since taking the square root of both sides will result in ± before the square root of 43.
Therefore, the equation will have two solutions:
x+3 = √43
x+3 = -√43
This will result in two solutions for x.
Therefore, the equation will have two solutions:
x+3 = √43
x+3 = -√43
This will result in two solutions for x.