Question
Factor the expression
(11−x)(11+x)
Evaluate
121−x2
Rewrite the expression in exponential form
112−x2
Solution
(11−x)(11+x)
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Find the roots
x1=−11,x2=11
Evaluate
121−x2
To find the roots of the expression,set the expression equal to 0
121−x2=0
Move the constant to the right-hand side and change its sign
−x2=0−121
Removing 0 doesn't change the value,so remove it from the expression
−x2=−121
Change the signs on both sides of the equation
x2=121
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±121
Simplify the expression
More Steps

Evaluate
121
Write the number in exponential form with the base of 11
112
Reduce the index of the radical and exponent with 2
11
x=±11
Separate the equation into 2 possible cases
x=11x=−11
Solution
x1=−11,x2=11
Show Solution
