因式分解 x^2+(4倍根号2)x+7

来源:学生作业帮助网 编辑:六六作业网 时间:2025/01/23 21:11:09
因式分解x^2+(4倍根号2)x+7因式分解x^2+(4倍根号2)x+7因式分解x^2+(4倍根号2)x+7X^2+(4√2)X+7=X^2+(2√8)X+7=(X+√8-1)(X+√8+1)x^2+

因式分解 x^2+(4倍根号2)x+7
因式分解 x^2+(4倍根号2)x+7

因式分解 x^2+(4倍根号2)x+7
X^2+(4√2)X+7=X^2+(2√8)X+7=(X+√8-1)(X+√8+1)

x^2+(4倍根号2)x+7
=x^2+(4倍根号2)x+8-1
=(x+2倍根号2)^2-1
=(x+[倍根号2]+1)(x+[2倍根号2]-1)