Without an equality sign the given expression is not an equation
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This equation yx3 k is that of a parabola. The variable h and k represent the coordinents of the vertex. The geometrical value k serves to move the graph of the parabola up or down along the line.
In algebraic terms, the solution is the answer to equation.
Extraneous solution
If this value a satisfy the equation, then a is a solution for that equation. ( or we can say that for the value a the equation is true)
A solution to an equation is a set of values for the variables in the equation which make it true.