Question

Solutiile reale ale ecuatiei:x²-√12=radical mare din (2radical din 3-4)la 2

Answer 1

$x^2- \sqrt{12} = \sqrt{(2 \sqrt{3} -4)^2} \\ x^2-2 \sqrt{3} =|2 \sqrt{3} -4| \\ x^2-2 \sqrt{3} =4-2 \sqrt{3} \\ x^2=4-2 \sqrt{3} +2 \sqrt{3} \\ x^2=4 \\ x= \sqrt{4} \Rightarrow x=2 \\ x=- \sqrt{4} \Rightarrow x=-2$