Question
Solve the equation
Solve for x
Solve for p
Solve for q
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x=∣p∣z2−q2y2x=−∣p∣z2−q2y2
Evaluate
x2p2+y2q2=z2
Rewrite the expression
p2x2+y2q2=z2
Move the expression to the right-hand side and change its sign
p2x2=z2−y2q2
Divide both sides
p2p2x2=p2z2−y2q2
Divide the numbers
x2=p2z2−y2q2
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±p2z2−y2q2
Simplify the expression
More Steps

Evaluate
p2z2−y2q2
To take a root of a fraction,take the root of the numerator and denominator separately
p2z2−y2q2
Simplify the radical expression
∣p∣z2−y2q2
x=±∣p∣z2−y2q2
Separate the equation into 2 possible cases
x=∣p∣z2−y2q2x=−∣p∣z2−y2q2
Calculate
x=∣p∣z2−q2y2x=−∣p∣z2−y2q2
Solution
x=∣p∣z2−q2y2x=−∣p∣z2−q2y2
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