Quadratic Equations
Solve (3x - 7) (2x - 8) = 0 by factoring
x = 7/3 and x = 4
i875
-i
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(2, -3)
Graph y < x2 + 6x + 6
Answer on Google Slide
Solve for x and y: -12x + 8yi = 72 - 2i
x = -6 and y = -1/4
Solve -6x2 + 19x + 7 = 0 by factoring
x = -1/3 and x = 7/2
(-12 + 3i) - (-5 - 4i2)
-11 + 3i
y = x2 - 4x + 6
y = x + 2
(1, 3) and (4, 6)
Graph y ≥ −x2+ 2x +1
Answer on Google Slide
What is Ms. Kang's guilty pleasure?
xxtra spicy Hot Cheetos!!
Solve x2 + 6x - 3 = 0 by completing the square
-3 + 2 rad(3)
-3 - 2 rad(3)
(-6 + 8i)2
-28 - 96i
y = x2 - 3x + 2
y = -9x - 3
(-5, 42) and (-1, 6)
Solve x2 - x - 12 > 0 algebraically
x < -3 or x > 4
Find the discriminant and describe the solution: 25x2 - 20x + 4 = 0
discriminant: 0
describe: one real solution
Solve y = 2x2 - 4x - 6 by graphing
x = -1 and 3
-3i rad(-48)
12 rad(3)
What sport did Ms. Kang play in high school?
Cheer
Solve x2 + 4x - 32 > 0 algebraically
x < -8 or x > 4
Find the discriminant, describe, and derive the solutions for: 4x2 + 6x = -9
discriminant: -108
describe: two imaginary solutions
solutions:
x = [-3 + 3i rad(3)] /4
x = [-3 - 3i rad(3)] /4
Solve y = -½x2 - x + 3/2 by graphing
x = -3 and 1
(-5 + 3i2)(-2 - 4i5) - 4i6
20 + 32i
x2 - xy = 20
-2x2 + 3xy = -44
(4, -1) and (-4, 1)
Solve 2x2 + 2 < -5x algebraically
-2 < x < -1/2
3x2 + y2 = 21
4x2 - 2y2 = -2
(2, 3) (2, -3) (-2, 3) and (-2, -3)