Question
Factor the expression
m2(1−5m2)
Evaluate
m2−5m4
Rewrite the expression
m2−m2×5m2
Solution
m2(1−5m2)
Show Solution

Find the roots
m1=−55,m2=0,m3=55
Alternative Form
m1≈−0.447214,m2=0,m3≈0.447214
Evaluate
m2−5m4
To find the roots of the expression,set the expression equal to 0
m2−5m4=0
Factor the expression
m2(1−5m2)=0
Separate the equation into 2 possible cases
m2=01−5m2=0
The only way a power can be 0 is when the base equals 0
m=01−5m2=0
Solve the equation
More Steps

Evaluate
1−5m2=0
Move the constant to the right-hand side and change its sign
−5m2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−5m2=−1
Change the signs on both sides of the equation
5m2=1
Divide both sides
55m2=51
Divide the numbers
m2=51
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±51
Simplify the expression
More Steps

Evaluate
51
To take a root of a fraction,take the root of the numerator and denominator separately
51
Simplify the radical expression
51
Multiply by the Conjugate
5×55
When a square root of an expression is multiplied by itself,the result is that expression
55
m=±55
Separate the equation into 2 possible cases
m=55m=−55
m=0m=55m=−55
Solution
m1=−55,m2=0,m3=55
Alternative Form
m1≈−0.447214,m2=0,m3≈0.447214
Show Solution
