Solving Quadratics 1
t^2 = 400
t = 20 and t=-20
Find the square root:
sqrt(-49)
7i
What value of c completes the square for x^2 + 14x + c?
c= 49
x^2 - 12x + 36 = 0
x=6
What are the the methods for solving systems of equations?
graphing, substitution, elimination
x^2 = 14x - 40
x= 4 or x =10
Simplify: (8 - 3i) + (1 + 2i)
9 - i
What value of c completes the square for
x^2 - 5x + c
c=25/4
5x^2 + 5x - 1 = 4x^2 + x
x = -1 or x = 1
How many solutions can a system with a parabola and a line have?
0, 1, or 2 solutions
4w^2 = 4w - 1
Find the square root:
-2sqrt(-100)
-20i
What is the quadratic formula?
What is the discriminant?
x = (-b ± sqrt(b^2 - 4ac)) / (2a)
b^2 - 4ac
2x^2 - 14x =36
x = 9 or x = -2
x^2 + y^2 = 16 and y = -x + 4
(0, 4) and (4, 0)
x^2 + 10x + 28 = 0
x = -5 ± i*sqrt(3)
Simplify:
sqrt(-36) - 3sqrt(-12)
6i - 6i*sqrt(3)
Find the discriminant of 34b2 + b + 289 = 0 and describe the solutions
Discriminant = -38999; two imaginary solutions
3r^2 - 18r - 6 = 0
r = 3 ± sqrt(11)
y = x^2 + 4
y = 2x + 1
no solution
x^2 + 4x + 4 = 2
-2 ± sqrt(2)
Simplify, and write answer in standard form:
(2-3i)(-1+2i)
4+7i
Convert to vertex form:
h(t)=-16t^2 +32t+12
h(t)=-16(t-1)^2 +28
-5x^2 =3x-1
-5x^2 =3x-1
(-3pm sqrt(29) )/10
x^2 + y = -9 and -x + y = -4
(sqrt(5), sqrt(5)-4) and (-sqrt5, -sqrt5 -4)
or (2.24, -1.76) and (-2.24, -6.24)