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I have got a question which looks like follow:
Show that the equation $\sqrt{ax+\alpha}+\sqrt{bx+\beta}+\sqrt{cx+\gamma}=0$ reduces to a simple equation if $\sqrt{a}\pm\sqrt{b}\pm\sqrt{c}=0$.
I am totally confused and don't even know from where should I start.
Side note: I don't know what ...
In algebra, the theory of equations is the analysis of the nature and algebraic solutions of algebraic equations (also called polynomial equations), which are equations defined by a polynomial. The term "theory of equations" is mainly used in the context of the history of mathematics.
== History ==
Until the end of 19th century, "theory of equations" was almost synonymous with "algebra". For a long time, the main problem was to find the solutions of a single non-linear equation in a single unknown. The fact that a complex solution always exists is the fundamental theorem of algebra, which...
