Question

Solve the equation, giving values of x in a form suitable for computation.

x(2√3-3)=4√3

answer = 8+4√3

(never heard of computation before​

Answer 1

x = 8 + 4
`√(3)`

Explanation:

computation just means to calculate

x(2
`√(3)` - 3 ) = 4
`√(3)` ( divide both sides by (2
`√(3)` - 3 ) )

x =
`(4√(3) )/(2√(3-3) )`

rationalise the denominator by multiplying the numerator/ denominator by the conjugate of the denominator.

the conjugate of 2
`√(3)` - 3 , is 2
`√(3)` + 3

=
`(4√(3)(2√(3)+3) )/((2√(3)-3)(2√(3)+3) )` ← expand denominator using FOIL

=
`(24+12√(3) )/(12-9)`

=
`(24+12√(3) )/(3)`

=
`(24)/(3)` +
`(12√(3) )/(3)`

= 8 + 4
`√(3)`