Factor x^2-1=0
How do you factor when there is no B in this equation?
(a^2-b^2) = (a+b)(a-b)
So would it be (x-1)(x+1)?
yes
Thank you. :)
To factor the quadratic equation x^2 - 1 = 0, you can use the difference of squares formula. The difference of squares formula states that a^2 - b^2 can be factored as (a + b)(a - b).
In this case, the expression x^2 - 1 is already in the form of a difference of squares because x^2 can be seen as (x)^2 and 1 can be seen as (1)^2. Therefore, we can rewrite the equation as:
(x)^2 - (1)^2 = 0
Using the difference of squares formula, we can factor it as:
(x + 1)(x - 1) = 0
Now, we have factored the equation x^2 - 1 = 0 into the product of two binomials, (x + 1)(x - 1) = 0. This means that either (x + 1) = 0 or (x - 1) = 0.
Thus, the solutions to the equation x^2 - 1 = 0 are x = -1 and x = 1.