Which of the following equations has only one solution?

x2+ 4x+ 4 = 0
x2+x= 0
x2- 1 = 0

Question

Which of the following equations has only one solution?

x2+ 4x+ 4 = 0
x2+x= 0
x2- 1 = 0

e.mccormick · Answer

Typically squares have two equations.  However, it is possible for both answers to be the same.  If you think about it that way, which of these has two answers that are the same?
$$x^2+ 4x+ 4 = 0\
x^2+x= 0\
x^2- 1 = 0$$

precal · Answer

|dw:1367426150203:dw|this is what you are looking for

precal · Answer

This is a quadratic equation with one solution but with a multiplicity of 2.
This is also known as a double root.
ie you have two solutions that are the same

precal · Answer

Do you know how to factor all of the above?

anonymous · Answer

no do you i suck at math

precal · Answer

well let's do them together

anonymous · Answer

ok

precal · Answer

|dw:1367426442738:dw|do you agree that x times x is x to the second power?

precal · Answer

|dw:1367426477481:dw|look at the last number, in this case it is 1
list all of the products of 1
in this case 1 times 1 is 1