Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x(5x2−1)
Evaluate
5x3−x
Rewrite the expression
x×5x2−x
Solution
x(5x2−1)
Show Solution
Find the roots
x1=−55,x2=0,x3=55
Alternative Form
x1≈−0.447214,x2=0,x3≈0.447214
Evaluate
5x3−x
To find the roots of the expression,set the expression equal to 0
5x3−x=0
Factor the expression
x(5x2−1)=0
Separate the equation into 2 possible cases
x=05x2−1=0
Solve the equation
More Steps
Evaluate
5x2−1=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
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