Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
20x−50
Evaluate
1×400(x−50)2
Calculate
400(x−50)2
To take a root of a fraction,take the root of the numerator and denominator separately
400(x−50)2
Simplify the radical expression
400x−50
Solution
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
20x−50
Show Solution
Find the roots
x=50
Evaluate
(1×400(x−50)2)
To find the roots of the expression,set the expression equal to 0
(1×400(x−50)2)=0
Find the domain
More Steps
Evaluate
1×400(x−50)2≥0
Calculate
400(x−50)2≥0
Since the left-hand side is always positive or 0,and the right-hand side is always 0,the statement is true for any value of x
x∈R
(1×400(x−50)2)=0,x∈R
Calculate
(1×400(x−50)2)=0
Calculate
400(x−50)2=0
Simplify the root
More Steps
Evaluate
400(x−50)2
To take a root of a fraction,take the root of the numerator and denominator separately
400(x−50)2
Simplify the radical expression
400∣x−50∣
Simplify the radical 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
20∣x−50∣
20∣x−50∣=0
Simplify
∣x−50∣=0
Rewrite the expression
x−50=0
Move the constant to the right-hand side and change its sign
x=0+50
Solution
x=50
Show Solution