已知X1,X2是方程2X²-3X-1=0的两根,不解方程,求2X1²+3X2-4X1X2-5

2025-03-07 06:25:48
推荐回答(1个)
回答1:

由题意可知:2x1²=3x1+1 x1+x2=3/2 x1x2=-1/2

2X1²+3X2-4X1X2-5
=3x1+1+3x2-4x1x2-5
=3*(x1+x2)+1-4x1x2-5
=3 * 3/2 - 4 * (-1/2) -4
=5/2