方法如下,
请作参考:
用因式分解解题
x^2-8x-10=0
(x^2-8x+16)-26=0
(x-4)^2-26=0
〔(x-4)+√26〕〔(x-4)-√26〕=0
(x-4+√26)(x-4-√26)=0
解:
x²-8x+4²=10+4²
(x-4)²=26
x-4=±√26
x①=4+√26
x②=4-√26
x²-8x-10=0
x²-8x+16-26=0
x²-8x+16=26
(x-4)²=26
x^2-8x-10=0
(x-4)^2 -26 =0
(x-4-√26)(x-4+√26) =0
x=4+√26 or 4-√26