Question

a) 5-√6x=23

b) 54-2√3x=7√3

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Answer 1

-2√3x=7√3-54
x=$\frac{7 \sqrt{3} -54}{-2 \sqrt{3} } = \frac{21-54 \sqrt{3} }{-6} = \frac{3(7-18 \sqrt{3}) }{-6} = \frac{7-18 \sqrt{3} }{-2} = \frac{18 \sqrt{3}-7 }{2}$

Answer 2

a) 5 - √6x = 23
-√2 * √3x = 23 - 5
- √2 * √3x = √2 * √3 * √3
- √2 * √3x = 3√2         |: √2
- √3x = 3
x = - 3/√3
b) 54 - 2√3x = 7√3
2√3x = √2 *√3 * √9
2√3x = 3√2 * √3
2x = 3√2
x = 3√2/2