Question

二埃克斯方加二倍根号6埃克斯加2等于0 怎么算

Answer 1

2x^2+2√6x+2=0

x^2+√6x+1=0

x^2+√6x=-1

x^2+√6x+(√6/2)^2=-1+(√6/2)^2

(x+√6/2)^2=1/2

x+√6/2=±√2/2

x=±√2/2-√6/2

x1=√2(1-√3)/2,x2=-√2(1+√3)/2,