Mister Exam

2x2-2x-12=(x+2)2 equation

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Numerical solution:

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The solution

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2*x2 - 2*x - 12 = (x + 2)*2
$$\left(- 2 x + 2 x_{2}\right) - 12 = 2 \left(x + 2\right)$$
The graph
Rapid solution [src]
          re(x2)   I*im(x2)
x1 = -4 + ------ + --------
            2         2    
$$x_{1} = \frac{\operatorname{re}{\left(x_{2}\right)}}{2} + \frac{i \operatorname{im}{\left(x_{2}\right)}}{2} - 4$$
x1 = re(x2)/2 + i*im(x2)/2 - 4
Sum and product of roots [src]
sum
     re(x2)   I*im(x2)
-4 + ------ + --------
       2         2    
$$\frac{\operatorname{re}{\left(x_{2}\right)}}{2} + \frac{i \operatorname{im}{\left(x_{2}\right)}}{2} - 4$$
=
     re(x2)   I*im(x2)
-4 + ------ + --------
       2         2    
$$\frac{\operatorname{re}{\left(x_{2}\right)}}{2} + \frac{i \operatorname{im}{\left(x_{2}\right)}}{2} - 4$$
product
     re(x2)   I*im(x2)
-4 + ------ + --------
       2         2    
$$\frac{\operatorname{re}{\left(x_{2}\right)}}{2} + \frac{i \operatorname{im}{\left(x_{2}\right)}}{2} - 4$$
=
     re(x2)   I*im(x2)
-4 + ------ + --------
       2         2    
$$\frac{\operatorname{re}{\left(x_{2}\right)}}{2} + \frac{i \operatorname{im}{\left(x_{2}\right)}}{2} - 4$$
-4 + re(x2)/2 + i*im(x2)/2