Question 328528
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For a quadratic function in the form:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ p(x)\ =\ ax^2\ +\ bx +\ c]


the discriminant, *[tex \Large \Delta] is the radicand in the quadratic formula, namely *[tex \Large \Delta\ =\ b^2\ -\ 4ac].


Substitute your values of 3, -5, and 1 into the discriminant and do the arithmetic.  If *[tex \Large \Delta > 0], you have two real intercepts.  If *[tex \Large \Delta = 0], you have one intercept, which is to say the *[tex \Large x]-axis is tangent to the parabola at the vertex.  And if *[tex \Large \Delta < 0] there are no *[tex \Large x]-intercepts.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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