Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x−20x+100
Evaluate
(x−10)(x−10)
Use the the distributive property to expand the expression
x×x+x×(−10)−10x−10(−10)
When a square root of an expression is multiplied by itself,the result is that expression
x+x×(−10)−10x−10(−10)
Calculate the product
x−10x−10x−10(−10)
Multiply the numbers
More Steps
Evaluate
−10(−10)
Multiplying or dividing an even number of negative terms equals a positive
10×10
Multiply the numbers
100
x−10x−10x+100
Solution
More Steps
Evaluate
−10x−10x
Collect like terms by calculating the sum or difference of their coefficients
(−10−10)x
Subtract the numbers
−20x
x−20x+100
Show Solution
Find the roots
x=100
Evaluate
(x−10)(x−10)
To find the roots of the expression,set the expression equal to 0
(x−10)(x−10)=0
Find the domain
(x−10)(x−10)=0,x≥0
Calculate
(x−10)(x−10)=0
Calculate
(x−10)2=0
The only way a power can be 0 is when the base equals 0
x−10=0
Move the constant to the right-hand side and change its sign
x=0+10
Removing 0 doesn't change the value,so remove it from the expression
x=10
Raise both sides of the equation to the 2-th power to eliminate the isolated 2-th root
(x)2=102
Evaluate the power
x=100
Check if the solution is in the defined range
x=100,x≥0
Solution
x=100
Show Solution