Question

Solve the equation √3(1+x) =2(x-3) giving your answer
in the form b+c√3 where b and c
are integers.​

Answer 1

Answer:

sorry

Step-by-step explanation:

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Answer 2

=> 8√3 + 15

• b = 15

• c = 8

Step-by-step explanation:

$= > \sqrt{3} (1 + x) = 2(x - 3) \\ = > \sqrt{3} + \sqrt{3} x = 2x - 6 \\ = > \sqrt{3}x - 2x = - 6 - \sqrt{3} \\ = > x( \sqrt{3} - 2) = - 6 - \sqrt{3} \\ = > x = \frac{ - 6 - \sqrt{3} }{ \sqrt{3} - 2 } \\ = > \bf{ lets \: rationalize} \\ = > x = \frac{ - 6 - \sqrt{3} }{ \sqrt{3} - 2} \times \frac{ \sqrt{3} + 2 }{ \sqrt{3} + 2 } \\ = > x = \frac{ - 6 \sqrt{3} - 12 - 3 - 2\sqrt{6} }{ - 1} \\ = > x = - ( - 6 \sqrt{3} - 12 - 3 - 2\sqrt{6} ) \\ = > x = 6 \sqrt{3} + 12 + 3 + 2\sqrt{6} \\ = > \boxed{x = 8 \sqrt{3} + 15 }$