Question

Rezolvați ecuația: (x+√3)(x+2√3)=15+√27x​

Answer 1

$(x + \sqrt{3} )(x + 2 \sqrt{3} ) = 15 + \sqrt{27} x \\ x {}^{2} + 2 \sqrt{3} x + \sqrt{3} x + 2 \times 3 = 15 + 3 \sqrt{3} x \\ x {}^{2} + 3 \sqrt{3} x + 6 = 15 + 3 \sqrt{3} x \\ x {}^{2} = 9\implies \: \underline{x = 3} \: \: sau \: \: \underline{x = - 3}$