Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x2(1−3x2)
Evaluate
x2−3x4
Rewrite the expression
x2−x2×3x2
Solution
x2(1−3x2)
Show Solution
Find the roots
x1=−33,x2=0,x3=33
Alternative Form
x1≈−0.57735,x2=0,x3≈0.57735
Evaluate
x2−3x4
To find the roots of the expression,set the expression equal to 0
x2−3x4=0
Factor the expression
x2(1−3x2)=0
Separate the equation into 2 possible cases
x2=01−3x2=0
The only way a power can be 0 is when the base equals 0
x=01−3x2=0
Solve the equation
More Steps
Evaluate
1−3x2=0
Move the constant to the right-hand side and change its sign
−3x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−3x2=−1
Change the signs on both sides of the equation
3x2=1
Divide both sides
33x2=31
Divide the numbers
x2=31
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±31
Simplify the expression
More Steps
Evaluate
31
To take a root of a fraction,take the root of the numerator and denominator separately
31
Simplify the radical expression
31
Multiply by the Conjugate
3×33
When a square root of an expression is multiplied by itself,the result is that expression
33
x=±33
Separate the equation into 2 possible cases
x=33x=−33
x=0x=33x=−33
Solution
x1=−33,x2=0,x3=33
Alternative Form
x1≈−0.57735,x2=0,x3≈0.57735
Show Solution