Question

Split the equation x^2-1

Answer 1

Answer:

x=1/x

Step-by-step explanation:

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Answer 2

Question:

Splitting the terms, $\sf{x^2-1}$

Given: $\sf{x^2-1}$

We observe the 1st-degree coefficient is 0.

$\sf{=x^2+0x-1}$

We can split 0x into two terms.

$\sf{=x^2+x-x-1}$

Factor out the common factor.

$\sf{=x(x+1)-(x+1)}$

Factor out the common term x+1.

$\sf{=(x+1)(x-1)}$

Learn more:

By using the factor theorem and since we know the two solutions, we can find out the two factors are x+1 and x-1.

$\sf{x^2-1=0}$

$\sf{\therefore x=1\;or\;x=-1}$

$\sf{\implies (x+1)(x-1)}$