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Consistency for an iterative method

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#matrices #numerical-methods #systems-of-equations #numerical-linear-algebra
250
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The quadratic equations $x^2+mx-n=0$ and $x^2-mx+n=0$ have integer roots. Prove that $n$ is divisible by $6$.

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#number-theory #systems-of-equations #roots #quadratics #discriminant
60
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Inconsistency using Trig Identities

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#algebra-precalculus #trigonometry #systems-of-equations #nonlinear-system
118
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Matrix whose square is in Jordan normal form

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#linear-algebra #matrices #systems-of-equations #matrix-equations #jordan-normal-form
2k
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Solving the system $\sqrt{x} + y = 7$, $x + \sqrt{y} = 11$

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#calculus #algebra-precalculus #systems-of-equations #nonlinear-system
44
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When solving systems of linear equations, what happens if you leave the variables in the matrix you're reducing?

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#linear-algebra #matrices #systems-of-equations
334
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How do I find integers $x,y,z$ such that $x+y=1-z$ and $x^3+y^3=1-z^2$?

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#number-theory #elementary-number-theory #contest-math #systems-of-equations #quadratics
63
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Finding an unknown PDF and an unknown function, given a relationship between the two and some constraints.

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#ordinary-differential-equations #functions #probability-distributions #systems-of-equations #nash-equilibrium
613
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How many combinations possible to make $10 from a set amount of coins

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#polynomials #systems-of-equations #word-problem
111
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How to obtain the condition of having non-trivial solution in this system?

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#systems-of-equations #determinant #fundamental-solution
71
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where did the extra solution go?

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#systems-of-equations #analytic-geometry
810
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How to find the condition of having a non-trivial solution for a non-square matrix equation?

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#systems-of-equations #determinant #matrix-equations #fundamental-solution
920
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Solve a nonlinear system of coupled differential equations

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#ordinary-differential-equations #systems-of-equations #nonlinear-system #coupling
412
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Calculating the particular solution of the following nonhomogeneous system

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#ordinary-differential-equations #systems-of-equations #matrix-exponential
2k
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Approximation to unsolvable system of equations

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#systems-of-equations #quadratics

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