Solve the Quadratic Equation: x² - 1 = 0

Solve the following expression:

x2−1=0 x^2-1=0

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find X
00:06 1 squared is always equal to 1
00:10 We'll use the shortened multiplication formulas to find the product
00:16 Let's find what zeros each factor
00:24 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following expression:

x2−1=0 x^2-1=0

2

Step-by-step solution

Let's solve the given equation:

x2−1=0 x^2-1=0 We will do this simply by isolating the unknown on one side and taking the square root of both sides:

x2−1=0x2=1/x=±1 x^2-1=0 \\ x^2=1\hspace{6pt}\text{/}\sqrt{\hspace{4pt}}\\ \boxed{x=\pm1}

Therefore, the correct answer is answer A.

3

Final Answer

x=±1 x=\pm1

Practice Quiz

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\( x^2+6x+9=0 \)

What is the value of X?

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