Question
Solve the equation
Solve for x
Solve for a
Solve for b
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x=∣y∣abx=−∣y∣ab
Evaluate
a2x2×b2y2=1
Multiply the terms
a2b2x2y2=1
Rewrite the expression
a2b2y2x2=1
Cross multiply
y2x2=a2b2
Divide both sides
y2y2x2=y2a2b2
Divide the numbers
x2=y2a2b2
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±y2a2b2
Simplify the expression
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Evaluate
y2a2b2
To take a root of a fraction,take the root of the numerator and denominator separately
y2a2b2
Simplify the radical expression
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Evaluate
a2b2
Rewrite the expression
a2×b2
Simplify the root
∣ab∣
y2∣ab∣
Simplify the radical expression
∣y∣∣ab∣
x=±∣y∣∣ab∣
Remove the absolute value bars
x=±∣y∣ab
Solution
x=∣y∣abx=−∣y∣ab
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