[질문] 2x²+3x-1=0을 완전제곱식을 이용해서 어떻게 푸나요?

a(x-p)²=q꼴로 2x²+3x-1=2(x²+3/2x)-1=2(x²+3/2x+9/16)-(9/8)-1=2(x+(3/4))²-17/8=0, 2(x+(3/4))²=17/8, (x+(3/4))²=17/16, x+(3/4)=±√17/4, x=(-3±√17)/4