Solve for all real values of x. x^(2)-1=0 Answer: x=

Set up equation: Set up the equation to solve for x. We have the equation x^(2) - 1 = 0. To find the values of x, we need to solve this equation.Factor left side: Factor the left side of the equation. The left side of the equation is a difference of squares, which can be factored as (x + 1)(x - 1) = 0.Set factors equal: Set each factor equal to zero and solve for x. Since the product of the factors is zero, at least one of the factors must be zero. So we set each factor equal to zero and solve for x: x + 1 = 0 or x - 1 = 0.Solve first equation: Solve the first equation x + 1 = 0. Subtract 1 from both sides to isolate x: x = -1.Solve second equation: Solve the second equation x - 1 = 0. Add 1 to both sides to isolate x: x = 1.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for all real values of
x.

x^(2)-1=0
Answer:
x=

Solve for all real values of $x$ . $\newline$ $x^{2}-1=0$ $\newline$ Answer: $x=$ $\newline$

View step-by-step help

Home

Math Problems

Algebra 2

Solve a quadratic equation using square roots

Full solution

Q. Solve for all real values of

x

\newline

x^{2}-1=0

\newline

Answer:

x=

\newline

Set up equation: Set up the equation to solve for $x$ . We have the equation $x^{2} - 1 = 0$ . To find the values of $x$ , we need to solve this equation.
Factor left side: Factor the left side of the equation. $\newline$ The left side of the equation is a difference of squares, which can be factored as $(x + 1)(x - 1) = 0$ .
Set factors equal: Set each factor equal to zero and solve for $x$ . $\newline$ Since the product of the factors is zero, at least one of the factors must be zero. $\newline$ So we set each factor equal to zero and solve for $x$ : $\newline$ $x + 1 = 0$ or $x - 1 = 0$ .
Solve first equation: Solve the first equation $x + 1 = 0$ . $\newline$ Subtract $1$ from both sides to isolate $x$ : $\newline$ $x = -1$ .
Solve second equation: Solve the second equation $x - 1 = 0$ . Add $1$ to both sides to isolate $x$ : $x = 1$ .