viet_jon said:Zero's are the same thing as roots, correct?
I have a question where a) askes what's the zero's. Then b) asks what are the roots.
pretty sure it's the same.
HallsofIvy said:No, they are not the same. Not if you are being very "correct".
A root of an equation is any solution to that equation.
A zero of a function, f(x), is any solution to the equation, f(x)= 0.
I see that Wikipedia says the opposite, saying that a "root of a function" is the same as a "zero of a function" but I think that is very sloppy terminology. Unfortunately even mathematicians get sloppy sometimes.
A zero is a value of a variable that makes an equation or function equal to zero. A root is a value of a variable that makes an equation or function equal to a specific value other than zero.
Yes, both zeros and roots can be negative. However, in some cases, a negative zero may be considered equivalent to a positive zero.
Zeros and roots are related in that they both represent values of a variable that satisfy an equation or function. However, they differ in the specific value that the equation or function is equal to.
Yes, an equation or function can have multiple zeros or roots. For example, a quadratic equation can have two distinct zeros or roots.
No, zeros and roots can also be complex numbers. In this case, the equation or function would have complex solutions or roots.