Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
5x−4
Evaluate
25x−100
Factor the expression
25(x−4)
The root of a product is equal to the product of the roots of each factor
25×x−4
Solution
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Evaluate
25
Write the number in exponential form with the base of 5
52
Reduce the index of the radical and exponent with 2
5
5x−4
Show Solution
Find the roots
x=4
Evaluate
25x−100
To find the roots of the expression,set the expression equal to 0
25x−100=0
Find the domain
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Evaluate
25x−100≥0
Move the constant to the right side
25x≥0+100
Removing 0 doesn't change the value,so remove it from the expression
25x≥100
Divide both sides
2525x≥25100
Divide the numbers
x≥25100
Divide the numbers
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Evaluate
25100
Reduce the numbers
14
Calculate
4
x≥4
25x−100=0,x≥4
Calculate
25x−100=0
Simplify the root
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Evaluate
25x−100
Factor the expression
25(x−4)
The root of a product is equal to the product of the roots of each factor
25×x−4
Evaluate the root
More Steps
Evaluate
25
Write the number in exponential form with the base of 5
52
Reduce the index of the radical and exponent with 2
5
5x−4
5x−4=0
Rewrite the expression
x−4=0
The only way a root could be 0 is when the radicand equals 0
x−4=0
Move the constant to the right-hand side and change its sign
x=0+4
Removing 0 doesn't change the value,so remove it from the expression
x=4
Check if the solution is in the defined range
x=4,x≥4
Solution
x=4
Show Solution