Case 1: No Solution


Line: y = x - 1
Parabola: y = 2x2 - 8x + 11



Graphical Solution:


The two don't intersect, so there is no solution.


Algebraic Solution:

y = x - 1
y = 2x2 - 8x + 11

Use the Comparison method:
2x2 - 8x + 11 = x - 1   and solve:
2x2 - 9x + 12 = 0




Because the descriminant is negative, there is no Real answer.
No solution



Next let's look at the case where the line is vertical >>>


Intro | No Solution | One Solution (V) | One Solution (T) | Two Solutions



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