1)x²+6x=0
x1=-6;x2=0
3)7/8x+x²=0
D=b²-4ac=49/64-4×0×1=49/64
√D=7/8
x1=-b-√D/2a=-7/8-7/8:2=-14/8 : 2= -7/4 : 2=-7/8
x2=-b+√D/2a=0/2=0
5)x+2/3 x²=0 | × 3
3x+2x²=0
x(3+2x)=0
x=0
x=-3/2
7)1/25 x + 1/125 x²=0 |×25
1/5 x² + x=0
x(1/5 x + 1)=0
x=0;1/5x=-1
x=0;x=-5
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Answers & Comments
1)x²+6x=0
x1=-6;x2=0
3)7/8x+x²=0
D=b²-4ac=49/64-4×0×1=49/64
√D=7/8
x1=-b-√D/2a=-7/8-7/8:2=-14/8 : 2= -7/4 : 2=-7/8
x2=-b+√D/2a=0/2=0
5)x+2/3 x²=0 | × 3
3x+2x²=0
x(3+2x)=0
x=0
x=-3/2
7)1/25 x + 1/125 x²=0 |×25
1/5 x² + x=0
x(1/5 x + 1)=0
x=0;1/5x=-1
x=0;x=-5