Question

Find the zeros of the function y = x^2-1.

Answer 1

The zeros of this function are 1 and -1
This is because you have to solve the problem as follows:

y=x^2-1
Replace y with 0, because we’re looking for the value of x when y is 0
0= x^2 -1
Add 1 to both sides to help get x alone
x^2= 1
Square root both sides to get x alone
x=+_1
Or
x= 1 and x= -1

Answer 2

Explanation:

x^2-1=0

Add 1 to both sides of the equation.

x^2= 1

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x = ± √ 1

Any root of 1 is x = ± 1

First, use the positive value of the ±

to find the first solution.

x= 1

Next, use the negative value of the ±

to find the second solution.

x = − 1

The complete solution is the result of both the positive and negative portions of the solution.

x = 1 , − 1