Question

Find the value of a and b if
`5+√3/7+2√3=a-b√3`

Answer 1

The values of
`a` and
`b` are
`5` and
`-(15)/(7)`, respectively.

Explanation:

There are mistakes in the statement, correct form is presented below:

`5+(√(3))/(7) + 2√(3) = a - b\cdot √(3)`.

By direct comparison we have the following system of equations:

`a = 5` (1)

`(√(3))/(7)+2√(3) = -b\cdot √(3)` (2)

In (2) we solve for
`b`:

`\left((1)/(7)+2 \right)\cdot √(3) = -b\cdot √(3)`

`b = -(15)/(7)`

The values of
`a` and
`b` are
`5` and
`-(15)/(7)`, respectively.