# solve and calculate

How can I solave an equation like x+z^2=1 and then calculate x with z=3 from the solution?

Thanks.

solve and calculate

How can I solave an equation like x+z^2=1 and then calculate x with z=3 from the solution?

Thanks.

1

1

A variation on the Shashank'answer :

```
sage: z=var('z')
sage: f(z)=solve(x+z^2==1,x)[0].rhs()
sage: f
z |--> -z^2 + 1
sage: f.diff(z)
z |--> -2*z
sage: f.plot()
```

Here you consider the function "solution of the equation as function of z", and you do whatever with it.

Asked: **
2012-01-26 12:21:21 -0500
**

Seen: **123 times**

Last updated: **Jan 26 '12**

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