Question

若3x^2-2x与x^2-2x-3互为相反数则x的值为

Answer 1

3x^2-2x+x^2-2x-3=0

2x^2-4x-3=0

x^2-2x=3/2

x^2-2x+1=5/2

(x-1)^2=5/2

x-1=±(√10)/2

x=1±(√10)/2