4x2 + 7 = 43
x = +- 3
y = 2a2 + 12a - 5
(0,-5)
y = 3(x -4)2 -7
(4,-7)
y = 3x2 + 12x - 8
y = 3(x + 2)2 - 20
n2 + 3n + 5 = 0
discriminant = -11
number of real solutions = no real solution
m2 - 8m - 20 = 0
m = -2
m = 10
y = 2x2 + 3x - 9
(0,-9)
Y = -2(x + 1)2 + 5
(-1,5)
y = -2x2 + 8x - 7
y = -2(x - 2)2 + 1
2x2 - 4x - 3 = 0
discriminant = 40
number of real solutions = 2
6p2 + 20p = 0
p = 0
p =-10/3
y = x2 + 6x + 8
(0,8)
Y = -2(x+4)2 -6
(-4,-6)
y = 6x2 - 12x + 9
y = 6(x - 1)2 + 3
5x2 + 3x + 6 = 0
discriminant = -151
number of real solutions = no real solution
(y - 5)2 + 6 = 13
y = 5+- sq root 7
y = -2(x + 1)2 + 5
(0,3)
Y = x2 + 6x + 8
(-3,-1)
y = 3x2 + 6x - 8
y = 3(x + 1)² - 11
3x2 - 5x - 1 = 0
discriminant = 37
number of real solutions = 2
4x2 - 24x = -32
x = 2
x = 4
y = -2(x + 4)2 - 6
(0,-38)
Y = 2a2 + 12a - 5
(-3,-23)
y = 5x2 + 2x +9
y = 5(x + 0.2)2 + 8.8
4x2 + 4x + 1 = 0
discriminant = 0
number of real solutions = 1