LT 6
Factor completely:
10x2 - 90
10(x + 3)(x - 3)
Solve and write your answer in simplest form:
5(x + 3)2 = 60
x = -3 ± 2√ 3
Simplify the square root:
√-100
10i
What is the quadratic formula?
(-b ± √ (b2 - 4ac) / 2a
27 days
Factor completely:
9x2 - 121
(3x + 11)(3x - 11)
Solve and write your answer in simplest form:
x2 - 20 = 5
x = ± 5
Simplify the square root:
√-75
5i√ 3
Solve using the quadratic formula. Answer in simplest radical form:
3x2 - 7x + 2 = 0
x = 2
x = 1/3
What is the name of Miss C's mom?
Lisa
Factor completely:
x2 + 11x + 28
(x + 7)(x + 4)
Solve and write your answer in simplest form:
2x2 - 116 = 2332
x = ± 6√ 34
Write the answer in standard form:
3i(6 + 4i) + (-2 +7i)
-14 + 25i
Solve using the quadratic formula. Answer in simplest radical form:
-x2 + 3x = 3
x = (-3 ± i√ 3) / -2
What is the name of Miss C's cousin that plays in the NFL?
Brock Wright
Factor and solve:
6x2 - 30x - 36 = 0
x = 6, x = -1
Solve and write your answer in simplest form:
9(x - 4)2 + 5 = 6
x = 4 ± √ (1/3)
Write the answer in standard form:
(5 - 2i)(6 - i)
28 - 17i
Calculate the discriminant and determine the number and type of solutions:
5x2 - 2x + 4 = 0
Discriminant: -76
Number of Solutions: 2
Type of Solutions: Imaginary
How many students were originally enrolled in this class?
12
Factor and solve:
3x2 + 13x + 12 = 0
x = -3, x = -4/3
Skydivers are in free fall from the time they jump out of a plane until they open their parachutes. The function below models a jumper’s height in feet (𝑦) after (𝑡) seconds.
y = -16t2 + 1400
How long is a jumper in free fall if the parachute opens at 1144 ft?
4 seconds
Write the answer in standard form:
(5 + 7i)2
-24 + 70i
Calvin Butterball throws a tennis ball from the top of a tall building. The distance 𝑑(𝑡), in feet, between the tennis ball and the ground, 𝑡 seconds after it is thrown, is given by the equation below.
d(t) = -16t - 4t + 385
How long after the tennis ball is thrown is it 300 feet from the ground? Round to the nearest hundredths.
2.18 seconds
What room number are you in?
707