Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−23,x2=0,x3=23
Alternative Form
x1≈−3.464102,x2=0,x3≈3.464102
Evaluate
x4−12x2=0
Factor the expression
x2(x2−12)=0
Separate the equation into 2 possible cases
x2=0x2−12=0
The only way a power can be 0 is when the base equals 0
x=0x2−12=0
Solve the equation
More Steps
Evaluate
x2−12=0
Move the constant to the right-hand side and change its sign
x2=0+12
Removing 0 doesn't change the value,so remove it from the expression
x2=12
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±12
Simplify the expression
More Steps
Evaluate
12
Write the expression as a product where the root of one of the factors can be evaluated
4×3
Write the number in exponential form with the base of 2
22×3
The root of a product is equal to the product of the roots of each factor
22×3
Reduce the index of the radical and exponent with 2
23
x=±23
Separate the equation into 2 possible cases
x=23x=−23
x=0x=23x=−23
Solution
x1=−23,x2=0,x3=23
Alternative Form
x1≈−3.464102,x2=0,x3≈3.464102
Show Solution
Graph
