Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−83,x2=0,x3=83
Alternative Form
x1≈−13.856406,x2=0,x3≈13.856406
Evaluate
x3−12x×16=0
Multiply the terms
x3−192x=0
Factor the expression
x(x2−192)=0
Separate the equation into 2 possible cases
x=0x2−192=0
Solve the equation
More Steps
Evaluate
x2−192=0
Move the constant to the right-hand side and change its sign
x2=0+192
Removing 0 doesn't change the value,so remove it from the expression
x2=192
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±192
Simplify the expression
More Steps
Evaluate
192
Write the expression as a product where the root of one of the factors can be evaluated
64×3
Write the number in exponential form with the base of 8
82×3
The root of a product is equal to the product of the roots of each factor
82×3
Reduce the index of the radical and exponent with 2
83
x=±83
Separate the equation into 2 possible cases
x=83x=−83
x=0x=83x=−83
Solution
x1=−83,x2=0,x3=83
Alternative Form
x1≈−13.856406,x2=0,x3≈13.856406
Show Solution
Graph
