Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
41x2−x+1
Evaluate
41(x−2)2×1
Multiply the terms
41(x−2)2
Expand the expression
More Steps
Evaluate
(x−2)2
Use (a−b)2=a2−2ab+b2 to expand the expression
x2−2x×2+22
Calculate
x2−4x+4
41(x2−4x+4)
Apply the distributive property
41x2−41×4x+41×4
Multiply the numbers
More Steps
Evaluate
41×4
Reduce the numbers
1×1
Simplify
1
41x2−x+41×4
Solution
More Steps
Evaluate
41×4
Reduce the numbers
1×1
Simplify
1
41x2−x+1
Show Solution
Find the roots
x=2
Evaluate
41(x−2)2×1
To find the roots of the expression,set the expression equal to 0
41(x−2)2×1=0
Multiply the terms
41(x−2)2=0
Rewrite the expression
(x−2)2=0
The only way a power can be 0 is when the base equals 0
x−2=0
Move the constant to the right-hand side and change its sign
x=0+2
Solution
x=2
Show Solution