Download L5-11 Quadratic Systems

L5-11 Quadratic Systems,
(by graphing)
Text pp 213 – 218
Workbook pp 183 – 188
Essential Question:
Can I find the solutions to a system that involves a
quadratic equation?
Warmup/Review: Simplify the following
1.
−121
11i
2. −12
i 12
i 4 3
2i 𝟑
3. (2 – 3i) – (3 + 4i)
–1 – 7i
4. (2 – 3i)(3+ 4i)
6 + 8i – 9i – 12i2
6 – i + 12
18 – i
Ex 1: Solving a Linear-Quadratic System Graphically
Solve the
system:
y1 = x2 + 4x + 1
y2 = x + 1
Graph y1 with a table.
Graph the linear equation:
x = –3 , y = –2
x = –2, y = –3
x = –1, y = –2
x=0,y=1
x=1,y=6
x = 2 , y = 13…
The y-intercept is 1 and the
slope is 1.
Graph each equation and find the Points of
Intersection. Any system that involves a
quadratic can have up to two solutions
(ordered pairs as answers).
(–3, –2) is a
solution
And (0, 1) is a
solution
Ex 2: Solving a Linear-Quadratic System using the
Calculator (Ti-84+)
Solve the
system:
5) When it says “Guess?”
MOVE the curser to the
specific point you are
looking for and hit
“enter” a last time.
y1 = –x2 + 9x – 6
y2 = ½ x + 2
The coordinates of that
point are now listed at
the bottom. (Round your
answer as needed.)
1) Input each equation into “y =“. Hit “Graph”.
2) Hit “2nd” “calc/trace” and choose “5: intersect”
3) Hit “enter” to select the first equation.
4) Hit “enter” again to select the second
equation
Repeat the process for any
other points of intersection.
(7.42, 5.71) is
the other
solution
(1.08, 2.54) is
a solution
Homework/Practice
• Linear-Quadratic Systems – Worksheet 1
Do (1 – 5)