Jackie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

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Jackie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

Mathematics
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a quadratic function f(x), can be this: \[f\left( x \right) = a{x^2} + bx + c\] whereas a linear function, g(x), can be this: \[g\left( x \right) = kx + h\]

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now, the intersections between those functions, are given by the solutions of the subsequent algebraic system: \[\left\{ \begin{gathered} f\left( x \right) = a{x^2} + bx + c \hfill \\ g\left( x \right) = kx + h \hfill \\ \end{gathered} \right.\]
so, we can have the subsequent cases: 1) two distinct solutions, which means, taht we have two distinct point of intersections: |dw:1438611731045:dw|
Ohhh! :) Ok, I'm understanding it now
2) one solutions, or more precisely two identical solutions, which means that we have only one intersection: |dw:1438611820605:dw|
I have to go but I'll be back in 10 minutes(eating breakfast)!
3) no solutions, which means that we have no intersections: |dw:1438611883205:dw|
so is it no intersection?
yes! in the third case we have no intersections
yay!:)
:)

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