Solve the Quadratic Equation: x² - 1 = 0

Question

Solve the following expression:

x21=0 x^2-1=0

Video Solution

Solution Steps

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 Solution

Let's solve the given equation:

x21=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:

x21=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.

Answer

x=±1 x=\pm1