Question
Solve the equation
Solve for x
Solve for p
Solve for q
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x=∣y∣pzqx=−∣y∣pzq
Evaluate
z2p2q2=x2y2
Rewrite the expression
z2p2q2=y2x2
Swap the sides of the equation
y2x2=z2p2q2
Divide both sides
y2y2x2=y2z2p2q2
Divide the numbers
x2=y2z2p2q2
Divide the numbers
x2=y2p2z2q2
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±y2p2z2q2
Simplify the expression
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Evaluate
y2p2z2q2
To take a root of a fraction,take the root of the numerator and denominator separately
y2p2z2q2
Simplify the radical expression
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Evaluate
p2z2q2
Rewrite the expression
p2×z2×q2
Simplify the root
∣pzq∣
y2∣pzq∣
Simplify the radical expression
∣y∣∣pzq∣
x=±∣y∣∣pzq∣
Remove the absolute value bars
x=±∣y∣pzq
Solution
x=∣y∣pzqx=−∣y∣pzq
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