Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
p1=−23,p2=0,p3=23
Alternative Form
p1≈−3.464102,p2=0,p3≈3.464102
Evaluate
p×p2−12p=0
Multiply the terms
More Steps
Evaluate
p×p2
Use the product rule an×am=an+m to simplify the expression
p1+2
Add the numbers
p3
p3−12p=0
Factor the expression
p(p2−12)=0
Separate the equation into 2 possible cases
p=0p2−12=0
Solve the equation
More Steps
Evaluate
p2−12=0
Move the constant to the right-hand side and change its sign
p2=0+12
Removing 0 doesn't change the value,so remove it from the expression
p2=12
Take the root of both sides of the equation and remember to use both positive and negative roots
p=±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
p=±23
Separate the equation into 2 possible cases
p=23p=−23
p=0p=23p=−23
Solution
p1=−23,p2=0,p3=23
Alternative Form
p1≈−3.464102,p2=0,p3≈3.464102
Show Solution
Graph
