Hello!
I'm trying to solve the following equation:
sage: var('a b c')
(a, b, c)
sage: a==b-sqrt(b**2-c**2/4)
a == b - sqrt(b^2 - 1/4*c^2)
sage: solve(_, b)
[b == a + sqrt(b^2 - 1/4*c^2)]
In the last line Sage doesn't solve the equation for b completely. Can you give me a hint what I'm doing wrong? Thank you!
Squaring equations may lead to wrong solutions but if you need the solution given in Wolframalpha you can do:
var('a b c') ;
eq=a == b - sqrt(b^2 - 1/4*c^2)
solve((eq-b)^2,b)
[b == 1/8*(4*a^2 + c^2)/a]
You could use SymPy's solver instead of Maxima, which is used by default in Sage:
sage: var('a b c')
sage: eq = (a==b-sqrt(b^2-c^2/4))
sage: solve(eq,b, algorithm='sympy')
ConditionSet(b, Eq(a - b + sqrt(4*b**2 - c**2)/2, 0), {(4*a**2 + c**2)/(8*a)})
ridiculous sage!!
I just try to remove the square root manually then solve. It is just a workaround I try.
Asked: 2012-11-05 07:30:09 +0100
Seen: 1,462 times
Last updated: Nov 05 '12
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