Решите уравнение: 1) 5x+x-4=0 2) 20x²+x-1=0 3) 8x²+10x+3=0 4)-6x²+7-2=0
Решите уравнение:
1) 5x+x-4=0
2) 20x²+x-1=0
3) 8x²+10x+3=0
4)-6x²+7-2=0
Ответ(ы) на вопрос:
1) 5х²+х-4=0
D=1²-4·5·(-4)=81
[latex] x_{1,2} [/latex]=[latex] \frac{-1+-9}{10} [/latex]
[latex] x_{1} [/latex]=[latex] \frac{-1+9}{10} [/latex]=[latex] \frac{8}{10} [/latex]=0,8
[latex] x_{2} [/latex]=[latex] \frac{-1-9}{10} [/latex]=-[latex] \frac{10}{10} [/latex]=-1
2) [latex] 20x^{2} [/latex]+х-1=0
D=1²-4·20-1=81
[latex] x_{1, 2} [/latex]=[latex] \ \frac{-1+-9}{40} [/latex]
[latex] x_{1} [/latex]=[latex] \frac{-1+9}{40} [/latex]=[latex] \frac{8}{40} [/latex]=[latex] \frac{1}{5} [/latex]
[latex] x_{2} [/latex]=[latex] \frac{-1-9}{40} [/latex]=[latex] \frac{-10}{40} [/latex]=-[latex] \frac{1}{4} [/latex]
3) [latex] 8x^{2} [/latex]+10х+3=0
D=10²-4·8·3=4
[latex] x_{1,2} [/latex]=[latex] \frac{-10+-2}{16} [/latex]
[latex] x_{1} [/latex]=[latex] \frac{-10+2}{16} [/latex]=-[latex] \frac{8}{16} [/latex]=-0,5
[latex] x_{2} [/latex]=[latex] \frac{-10-2}{16} [/latex]=-[latex] \frac{12}{16} [/latex]=-[latex] \frac{3}{4} [/latex]=-0,75
4)-6х²+7х-2=0 | ÷(-1)
6х²-7х+2=0
D=(-7)²-4·6·2=49-48=1
[latex] x_{1,2} [/latex]=[latex] \frac{7+-1}{12} [/latex]
[latex] x_{1} [/latex]=[latex] \frac{7-1}{12} [/latex]=[latex] \frac{6}{12} [/latex]=0,5
[latex] x_{2} [/latex]=[latex] \frac{7+1}{12} [/latex]=[latex] \frac{8}{12} [/latex]=[latex] \frac{2}{3} [/latex]
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