Question
Solve the equation
Solve for p
Solve for q
Solve for r
p=∣q∣rp=−∣q∣r
Evaluate
p2q2−r2=0
Rewrite the expression
q2p2−r2=0
Move the expression to the right-hand side and change its sign
q2p2=0+r2
Add the terms
q2p2=r2
Divide both sides
q2q2p2=q2r2
Divide the numbers
p2=q2r2
Take the root of both sides of the equation and remember to use both positive and negative roots
p=±q2r2
Simplify the expression
More Steps

Evaluate
q2r2
To take a root of a fraction,take the root of the numerator and denominator separately
q2r2
Simplify the radical expression
q2∣r∣
Simplify the radical expression
∣q∣∣r∣
p=±∣q∣∣r∣
Remove the absolute value bars
p=±∣q∣r
Solution
p=∣q∣rp=−∣q∣r
Show Solution
