Question
Solve the equation
Solve for a
Solve for b
Solve for c
a=−∣b∣∣c∣×b,b=0a=∣b∣∣c∣×b,b=0
Evaluate
a2b2=c2b
Rewrite the expression
b2a2=c2b
Divide both sides
b2b2a2=b2c2b
Divide the numbers
a2=b2c2b
Divide the numbers
More Steps

Evaluate
b2b
Use the product rule aman=an−m to simplify the expression
b2−11
Subtract the terms
b11
Simplify
b1
a2=bc2
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±bc2
Simplify the expression
More Steps

Evaluate
bc2
To take a root of a fraction,take the root of the numerator and denominator separately
bc2
Simplify the radical expression
b∣c∣
Multiply by the Conjugate
b×b∣c∣×b
Calculate
∣b∣∣c∣×b
a=±∣b∣∣c∣×b
Separate the equation into 2 possible cases
a=∣b∣∣c∣×ba=−∣b∣∣c∣×b
Calculate
{a=−∣b∣∣c∣×bb=0{a=∣b∣∣c∣×bb=0
Solution
a=−∣b∣∣c∣×b,b=0a=∣b∣∣c∣×b,b=0
Show Solution
