Solve b/8/5/a a*b=1

Evaluate

\frac{b}{8} \div (\frac{5}{a} \times a) b = 1

Find the domain

More Steps

\frac{b}{8} \div (\frac{5}{a} \times a) b = 1, a \neq = 0

Simplify

More Steps

\frac{b ^{2}}{40} = 1

Multiply both sides

b^{2} = 40

Take the root of both sides of the equation and remember to use both positive and negative roots

b = \pm 40

Simplify the expression

b = \pm 210

Separate the equation into 2 possible cases

b = 210 b = - 210

Check if the solution is in the defined range

b = 210 b = - 210, a \neq = 0

Find the intersection of the solution and the defined range

{a \neq = 0 b = - 210 {a \neq = 0 b = 210

Solution

(a_{1}, b_{1}) = (a, 210), a \in R (a_{2}, b_{2}) = (a, - 210), a \in R

B/8/5/a a*b=1