Question

若2x^2+3与2x-4互为相反数,则x的值为( ) A.1/2 B.2 C.±2 D.±1/2

要详细过程！

Answer 1

2x^2+3与2x-4互为相反数
∴2x²+3+2x-4=0
2x²+2x-1=0
x²+x=1/2
x²+x+1/4=3/4
(x+1/2)²=3/4
x=-1/2+√3/2 x=-1/2-√3/2

Answer 2

2x^2+3与2x-4互为相反数→﹙2x^2+3﹚＋﹙2x-4﹚＝0→无答案

Answer 3

相反数有哪些性质啊？加起来等于0啊！