Solving by factoring
Square Roots/Completing the square
Quadratic formula
Imaginary Numbers
Riddle Me This
100
What's the first step to solve quadratics by factoring
Step 1. Write the equation in standard form.
100
Solve this equation by taking square roots.
x2 - 10 = 54
x2 = 64
x = 8 , -8
100
When solving using the quadratic formula, what is the first 2 things you should do?
1st - make sure it is in standard form
(ax2 + bx + c = 0
2nd - Write down the values of;
a =
b =
c =
100
i40=
1
40/4=10 with a remainder of 0
This means i40= i0=1
100
*Group Question!*
What was your favorite or least favorite thing about quarantine time?
(Everyone answers) My favorite or least favorite thing is ...
200
PASS GO
Gain 500 Points
200
Solve this equation by taking square roots.
(x+7)2 - 11 = 0
(x+7)2 = 11
x + 7 = ±√11
x = -3.68 and -10.32
200
BANKRUPT
Lose all your points
200
(6+12i)(2-4i)=
60
Foil: 12-24i+24i-48i2
Simplify:12+48
Combine like terms:
200
Which planet is the hottest in the solar system?
Venus
300
Solve this quadratics by factoring to find the x-intercepts.
x2 + 2x = 3
x2 + 2x - 3 = 0
(x-1)(x+3) = 0
x = 1 or x = -3
300
Solve x2 − 6x − 3 = 0 by completing the square.
x2−6x=3
x2−6x+(−3)2=3+9
(x−3)2=12
x−3=±√12
x=6.46 and -.46
300
Solve x2 + 4x - 21 = 0 by using quadratic formula.
a = 1, b = 4, and c = -21
x = 3 or -7
300
PICK A TEAM
Swap Points with that team
300
How many states of the United States of America have a Pacific coast?
5 (California, Oregon, Washington, Alaska, Hawaii)
400
Solve this quadratics by factoring to find the x-intercepts.
X2 + 16 = 10x
x2 - 10x + 16 =0
(x-2)(x-8)
x = 2 or x = 8
400
PICK A NUMBER (Between 0-1000)
Lose that many points
400
Solve x2 - 8x + 14 = 0 using the quadratic formula.
a = 1, b = -8, and c = 14
x = -(-8) ±√ (-8)2 - 4(1)(14) / 2(1)
= 8 ±√ 8 / 2
= 5.41 and 2.59
400
(1+2i)/(3+4i)
11/5 - (2/5)i
400
PICK A NUMBER (Between 0-1000)
Gain that many points
500
Solve this quadratics by factoring to find the x-intercepts.
18x2 - 3x = 6
18x2 - 3x -6 = 0
= 3(6x2 - x - 2) = 0
= 3(3x -2)(2x +1)= 0
= 3x -2 = 0 2x + 1 = 0
x = 2/3 or x -1/2
500
Solve x2 - 6x + 7 = 0
x2 - 6x = -7
x2 -6x + (3)2 = -7 + 9
x2 -6x + 9 = 2
(x-3)2 = 2
x -3 = ± √2
x = 4.42 and 1.59
500
Solve 2x2 = 7x + 6 by using quadratic formula.
a = 2, b = -7, and c = -6
x = -(-7) ±√(-7)2 -4(2)(-6) / 2(2)
x = (7 ±√ 97) / 4
x =4.21 and -.71
500
Solve: (12-21i)/(-6-9i)
1+2i
Multiply by conjugate over itself:
(12-21i)(-6+9i)/(-6-9i)(-6+9i)
Foil:
(-72+108i+126i+189i2)/(36-54i+54i-81i2)
Simplify:
(-72+234i+189)/(36+81)
Combine like Terms:
(117+234i)/(117)
Divide:
500
Loudest animal on Earth
What is a Whale?