已知X等于2分之根号5减3,求x(x+1)(x+2)(x+3)的值

问题描述:

已知X等于2分之根号5减3,求x(x+1)(x+2)(x+3)的值

12.75+genhao5

因为:x(x+1)(x+2)(x+3)=x(x+3)(x+1)(x+2)=(x²+3x)(x²+3x+2)而因为x = (√5 - 3) / 2 代入x²+3x 得x² + 3x = [ (√5 - 3) / 2 ]² + 3 × [ (√5 - 3) / 2 ] = -1代入上式即x(x+1)(x+2)(x+3...