consider the following quadratic equation

Question

(x+3)^2=43

When taking the square root of both sides of this equation, how many solutions will the equation have?

Answer 1

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.