解方程(x-1)²=6;x²-2x-1=0;2x²-10x=3
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解方程(x-1)²=6;x²-2x-1=0;2x²-10x=3
解方程(x-1)²=6;x²-2x-1=0;2x²-10x=3
解方程(x-1)²=6;x²-2x-1=0;2x²-10x=3
(x-1)²=6
x-1=±√6
∴x-1=√6 x-1=-√6
x1=1+√6,x2=1-√6
x²-2x-1=0
x²-2x=1
(x-1)²=2
x-1=±√2
∴x-1=√2 x-1=-√2
x1=1+√2,x2=1-√2
2x²-10x=3
2x²-10x-3=0
x=(-(-10)±√((-10)²-4×2×(-3)))/2
x=(10±√124)/2
x=(10±2√31)/2
∴x1=(10+2√31)/2=5+√31,x2=(10-2√31)/2=5-√31
①(x-1)²=6
x-1=±√6
x=1+√6或x=1-√6
②x²-2x-1=0
(x-1)²=2
x-1=±√2
x=1±√2
③2x²-10x=3
x²-5x=3/2
(x-5/2)²=3/2+25/4
(x-5/2)²=31/4
x-5/2=±(√31)/2
x=(5±√31)/2