Simplify
(y^2+2y+3) +(y^2+3y-1)
2y^2+5y+2
Find the roots using a method of your choice
y(y-14)=0
0, 14
Factor: x^2 + 13x + 22
(x + 2)(x + 11)
what part of the quadratic formula lets you know how many roots the quadratic will have?
Discriminant
b^2 - 4ac
Solve by graphing
5x^2-60x=-180
one root
x=6
6y(y^2+3y+1)
6y^3 + 18y^2 + 6y
Solve using method of your choice
x^2-4x=21
-3, 7
Factor: x^2 + 14x + 45
(x + 9)(x + 5)
Use the quadratic formula to solve
64x^2 - 1
(1/8, -1/8)
Solve by graphing
x^2+8x+16=25
1, -9
(x+2) (x+5)
x^2 + 7x +10
Solve using method of your choice
6x^2-5x=6
-2/3, 3/2
Factor: 3y^2 + 7y - 6
(y - 3)(3y + 2)
Solve using the quadratic formula
9x^2-6x-35=0
-5/3 , 7/3
(-1.7, 2.3)
Solve using factoring
2x^2-x-28=0
4, -7/2
(8d-3)(2d^2+d+1)
16d^3+2d^2+5d-3
Solve using method of your choice
x^2 - 4 =12
4, -4
Factor 49a^2 - 28a +4
(7a-2) ^2
Find the roots using the quadratic formula:
0= x^2 + 2x + 5
It can not be solved using real numbers!
Solve using factoring 4x^2=36
3, -3
(4b-2)^2
16b^2-16b+4
x^2 + 12x +36 = 0
-6
Factor 121 - 4b^2
(11-2b) (11+2b)
Solve using the quadratic formula: 4x^2 + 6x - 11 = y
(-2.6, 0) and (1.1, 0)
Solve using factoring
2x^2+9x-18 +0
3/2 , -6