Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−50)(x+50)
Evaluate
x2−2500
Rewrite the expression in exponential form
x2−502
Solution
(x−50)(x+50)
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Find the roots
x1=−50,x2=50
Evaluate
x2−2500
To find the roots of the expression,set the expression equal to 0
x2−2500=0
Move the constant to the right-hand side and change its sign
x2=0+2500
Removing 0 doesn't change the value,so remove it from the expression
x2=2500
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±2500
Simplify the expression
More Steps
Evaluate
2500
Write the number in exponential form with the base of 50
502
Reduce the index of the radical and exponent with 2
50
x=±50
Separate the equation into 2 possible cases
x=50x=−50
Solution
x1=−50,x2=50
Show Solution