x²-3√3x+6=0;x-2√3;√3
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x² - 3√3x + 6 = 0
- Let, x = √3
x² - 3√3x + 6 = 0
(√3)² - 3√3.√3 + 6 = 0
3 - 3.3 + 6 = 0
3 - 9 + 6 = 0
-6 + 6 = 0
0 = 0
Thus, √3 is the solution of the given equation.
2. Let, x = -2√3
x² - 3√3x + 6 = 0
(-2√3)² - 3√3.-2√3 + 6 = 0
4.3 + 6.3 + 6 = 0
12 + 18 + 6 = 0
36 is not equal to 0
Thus, -2√3 is not the solution of the given equation.
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