Solve by using the square root property.
(x+7)^2=-11
take the sqrt of each side
x+7=+-i*sqrt11
x=-7+- sqrt 11
how can (something)^2 be less than zero?
To solve the equation (x+7)^2 = -11 using the square root property, follow these steps:
Step 1: Rewrite the equation in the form (expression)^2 = constant.
(x+7)^2 = -11
Step 2: Take the square root of both sides of the equation.
√((x+7)^2) = √(-11)
Step 3: Simplify both sides of the equation.
|x+7| = √(-11)
Step 4: Since the square root of a negative number is not a real number, we conclude that there are no solutions to this equation in the real number system.