Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
Solve for a
Solve for b
a=∣b∣1a=−∣b∣1
Evaluate
a1×b1=ba
Multiply the terms
ab1=ba
Rewrite the expression
ba1=ba
Cross multiply
1=baba
Simplify the equation
1=b2a2
Swap the sides of the equation
b2a2=1
Divide both sides
b2b2a2=b21
Divide the numbers
a2=b21
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±b21
Simplify the expression
More Steps
Evaluate
b21
To take a root of a fraction,take the root of the numerator and denominator separately
b21
Simplify the radical expression
b21
Simplify the radical expression
∣b∣1
a=±∣b∣1
Solution
a=∣b∣1a=−∣b∣1
Show Solution
