Question

If the product of two positive numbers is 1 and their difference is (5/6) what is the larger number?

Answer 1

ab=1
a-b=5/6
Solve the system

Answer 2

my answer comes out wrong when i try to solve the system

Answer 3

does it need to be a quadratic?

Answer 4

b=1/a from the first equation
Substitute into the second equation.
a-1/a=5/6
Multiply both sides by a
a^2-1=5/6(a)
Multiply both sides by 6
6a^2-6=5a
Subtract 5a from both sides.
6a^2-5a-6=0
Factor and solve