Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−20)(x+20)
Evaluate
x2−400
Rewrite the expression in exponential form
x2−202
Solution
(x−20)(x+20)
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Find the roots
x1=−20,x2=20
Evaluate
x2−400
To find the roots of the expression,set the expression equal to 0
x2−400=0
Move the constant to the right-hand side and change its sign
x2=0+400
Removing 0 doesn't change the value,so remove it from the expression
x2=400
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±400
Simplify the expression
More Steps
Evaluate
400
Write the number in exponential form with the base of 20
202
Reduce the index of the radical and exponent with 2
20
x=±20
Separate the equation into 2 possible cases
x=20x=−20
Solution
x1=−20,x2=20
Show Solution