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x2+x/2=8x-7/3 方程

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数值解:

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解答

You have entered [src]
     x            
x2 + - = 8*x - 7/3
     2            
$$\frac{x}{2} + x_{2} = 8 x - \frac{7}{3}$$
The graph
Rapid solution [src]
     14   2*re(x2)   2*I*im(x2)
x1 = -- + -------- + ----------
     45      15          15    
$$x_{1} = \frac{2 \operatorname{re}{\left(x_{2}\right)}}{15} + \frac{2 i \operatorname{im}{\left(x_{2}\right)}}{15} + \frac{14}{45}$$
x1 = 2*re(x2)/15 + 2*i*im(x2)/15 + 14/45
Sum and product of roots [src]
sum
14   2*re(x2)   2*I*im(x2)
-- + -------- + ----------
45      15          15    
$$\frac{2 \operatorname{re}{\left(x_{2}\right)}}{15} + \frac{2 i \operatorname{im}{\left(x_{2}\right)}}{15} + \frac{14}{45}$$
=
14   2*re(x2)   2*I*im(x2)
-- + -------- + ----------
45      15          15    
$$\frac{2 \operatorname{re}{\left(x_{2}\right)}}{15} + \frac{2 i \operatorname{im}{\left(x_{2}\right)}}{15} + \frac{14}{45}$$
product
14   2*re(x2)   2*I*im(x2)
-- + -------- + ----------
45      15          15    
$$\frac{2 \operatorname{re}{\left(x_{2}\right)}}{15} + \frac{2 i \operatorname{im}{\left(x_{2}\right)}}{15} + \frac{14}{45}$$
=
14   2*re(x2)   2*I*im(x2)
-- + -------- + ----------
45      15          15    
$$\frac{2 \operatorname{re}{\left(x_{2}\right)}}{15} + \frac{2 i \operatorname{im}{\left(x_{2}\right)}}{15} + \frac{14}{45}$$
14/45 + 2*re(x2)/15 + 2*i*im(x2)/15