Problem 43590. Solve t^(a*x^2+b*x+c)=s
Solve t^(a*x^2+b*x+c)=s. Return x vector as result.
Example a=1, b=2, c=1, t=3, s=15. Result x(1)= 0.5700 x(2)=2.5700
Hint: if we need to solve a*x^2+b*x+c=0 then result will be
x(1)=(b+sqrt(b^24*a*c))/(2*a);
x(2)=(bsqrt(b^24*a*c))/(2*a);
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2 Comments
The Test Suite only accepts one ordering of the two x values, but the ordering is not explained. See e.g. Solution 1574317. Either the Test Suite or the Problem Statement needs to be amended. Also, it is recommended that at least four test cases be provided, though more are often necessary to prevent hardcoded workarounds. —DIV
Sorry, I suppose the "hint" does suggest that descending order is wanted. However it would still have been beneficial to state it explicitly. —DIV
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