用因式分解法解方程​(3-x)²+x²=9,(3x-1)²=4(1-x)²,√2(x-1)²=1-x

问题描述:

用因式分解法解方程​(3-x)²+x²=9,(3x-1)²=4(1-x)²,√2(x-1)²=1-x

(3-x)²+x²=9,(x-3)²+(x-3)(x+3)=0(x-3)(x-3+x+3)=0x(x-3)=0x=0或x=3(3x-1)²=4(1-x)²,(3x-1)²-[2(1-x)]²=0(3x-1+2-2x)(3x-1+2x-2)=0(x+1)(5x-3)=0x=-1或x=3/5√2(x-1)...