# Algebra 2

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how to i graph the inequality :
y<x squared - 3x + 15
whats my x and whats my y ? should i factor ?

• Algebra 2 -

To graph the inequality, graph :
Y= x^2 - 3x + 15 = 0,

Step 1. Find the coordinates (h,k) of
the vertex:
h = Xv = -b/2a = 3/2 = 1.5,
Substitute 1.5 for x in the guad. Eq:

k = Yv = (1.5^2) - 3*1.5 + 15 = 12.75,

V(1.5 , 12.75),

Step 2. Select values of x above and
below h(Xv) and cal. the corresponding value of y:

(-1 , 19), (0 , 15), (1 , 13), (1.5 , 12.75), (2 , 13), (3 , 15).

The parabola does not cross the x-axis.
Therefore, there are no real solutions.
But we have 2 imaginary solutions(roots) which can be cal. using the

• Algebra 2 -

Take the corresponding number of every letter and the alphabet and add, but this is impossibru so I'm out, PEACE

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