Question

已知方程x²+y²-2(m+3)x+2(1-4m²)y+16m的4次方+9=0个圆,求m得

Answer 1

已知方程x²+y²-2(m+3)x+2(1-4m²)y+16m的4次方+9=0是个圆,求m得取值范围?

x²-2(m+3)x+(m+3)²-(m+3)²+y²+2(1-4m²)y+(1-4m²)²-(1-4m²)²+16m的4次方+9=0

[x-(m+3)]²+[y-(4m²-1)]²-m²-6m-9-1+8m²-16m的4次方+16m的4次方+9=0

[x-(m+3)]²+[y-(4m²-1)]²=-7m²+6m+1

-7m²+6m+1>0

7m²-6m-1