1.3x^2+2x-7=0 2.-4x^2-8x+1=0 3.x^2+2mx-n^2=0 4
1个回答

3x^2+2x-7=0

求根公式吧

x=(-2±√93)/6

2.-4x^2-8x+1=0

4x^2+8x-1=0

4x^2+8x=1

x^2+2x=1/4

x^2+2x+1=5/4

(x+1)^2=5/4

x+1=√5/2或x+1=-√5/2

x=(√5-1)/2或x=(-1-√5)/2

3、x^2+2mx=n^2

x^2+2mx+m62=n^2-m^2

(x+m)^2=n^2-m^2

x+m=√(n^2-m^2)或x+m=-√(n^2-m^2)

x=√(n^2-m^2)-m或x=-√(n^2-m^2)-m

4、x^2-2mx-m^2=0(m>0)

x^2-2mx=m^2

x^2-2mx+m^2=2m^2

(x-m)^2=2m^2

x-m=√2m或x-m=-√2m

x=(1+√2)m或x=(1-√2)m