Question
Solve the equation
p1=−21,p2=0,p3=21
Alternative Form
p1=−0.5,p2=0,p3=0.5
Evaluate
p2−4p4=0
Factor the expression
p2(1−4p2)=0
Separate the equation into 2 possible cases
p2=01−4p2=0
The only way a power can be 0 is when the base equals 0
p=01−4p2=0
Solve the equation
More Steps

Evaluate
1−4p2=0
Move the constant to the right-hand side and change its sign
−4p2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−4p2=−1
Change the signs on both sides of the equation
4p2=1
Divide both sides
44p2=41
Divide the numbers
p2=41
Take the root of both sides of the equation and remember to use both positive and negative roots
p=±41
Simplify the expression
More Steps

Evaluate
41
To take a root of a fraction,take the root of the numerator and denominator separately
41
Simplify the radical expression
41
Simplify the radical expression
21
p=±21
Separate the equation into 2 possible cases
p=21p=−21
p=0p=21p=−21
Solution
p1=−21,p2=0,p3=21
Alternative Form
p1=−0.5,p2=0,p3=0.5
Show Solution
