Question

Решить уравнение

$x^{2} - sqrt{2} x= sqrt{3} x- sqrt{6}$

Answer 1

х² - (√2 + √3)х + √6 = 0
D =(√2 + √3)²-4√6 = 2+2√6+3-4√6 = 2-2√6+3 = (√2 - √3)² = (√3 - √2)²
x1 = ((√2 + √3) - (√3 - √2))/2 = √2 
x2 = ((√2 + √3) + (√3 - √2))/2 = √3