Question 333032
If: 
f(x)= 2x + 12 
g (x) = 2x squared - 8x + 2
What are the points where they intersect, without graphing? 
Set them equal to each other, that's where they intersect.
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{{{2x^2 - 8x + 2 = 2x + 12}}}
{{{2x^2 - 10x - 10 = 0}}}
(The graph is not that of the original functions.)
*[invoke solve_quadratic_equation 2,-10,-10]
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(The graph is not that of the original functions.)
x = 5/2 ± 3sqrt(5)/2
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x = 5/2 + 3sqrt(5)/2
y = 17 + 3sqrt(5)
--> (5/2 + 3sqrt(5)/2,17 + 3sqrt(5))
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x = 5/2 - 3sqrt(5)/2
y = 17 - 3sqrt(5)
--> (5/2 - 3sqrt(5)/2,17 - 3sqrt(5))