Find all real number solutions for each equation. x^{2}-1=0

sodni3

sodni3

Answered question

2021-09-28

Find all real number solutions for each equation.
x21=0

Answer & Explanation

BleabyinfibiaG

BleabyinfibiaG

Skilled2021-09-29Added 118 answers

Step 1 
All real number solutions to the equation must be found:
x21=0 
Write the equation 
x21=0 
(x)2(1)2=0 
We know the identity for difference-of-two-squares pattern, 
a2b2=(ab)(a+b) 
Step 2 
Applying above identity for the given equation, 
(x)2(1)2=0 
(x-1)(x+1)=0 
Either, 
x-1=0 
x=1 
or, 
x+1=0 
x=-1 
Hence, solutions of the equation are x=−1, 1.

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