Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x2(1−5x2)
Evaluate
x2−5x4
Rewrite the expression
x2−x2×5x2
Solution
x2(1−5x2)
Show Solution
Find the roots
x1=−55,x2=0,x3=55
Alternative Form
x1≈−0.447214,x2=0,x3≈0.447214
Evaluate
x2−5x4
To find the roots of the expression,set the expression equal to 0
x2−5x4=0
Factor the expression
x2(1−5x2)=0
Separate the equation into 2 possible cases
x2=01−5x2=0
The only way a power can be 0 is when the base equals 0
x=01−5x2=0
Solve the equation
More Steps
Evaluate
1−5x2=0
Move the constant to the right-hand side and change its sign
−5x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−5x2=−1
Change the signs on both sides of the equation
5x2=1
Divide both sides
55x2=51
Divide the numbers
x2=51
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±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
x=±55
Separate the equation into 2 possible cases
x=55x=−55
x=0x=55x=−55
Solution
x1=−55,x2=0,x3=55
Alternative Form
x1≈−0.447214,x2=0,x3≈0.447214
Show Solution