解答如下:x^2+(x+√2)^2=8x^2+x^2+2√2x+2=8x^2+√2x=3x^2+√2x+(√2/2)^2=3+1/2(x+√2/2)^2=7/2x+√2/2=±√7/2x=(-√2±√7)/2。
X²＋(x＋√2)²＝8X²+X²＋2√2x+2＝8X²＋√2X－3＝0X＝√14/2-√2/2或X＝－√14/2-√2/2
