Quadratic Equations Flashcards

1
Q

Define:

Quadratic Equation

A

ax2 + bx + c = 0

Where:

a, b, c are constants (generally integers)

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2
Q

Define:

Zero Product Rule

A

If ab = 0 then either a = 0 or b = 0 (or both).

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3
Q

**Vertex Form of Quadratic Equation **

A

f(x) = a(x – h)2 + k

where: (h,k) is the vertex.

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4
Q

axay

A

a(x+y)

where: a is positive and x & y are real.

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5
Q

(ax)y

A

ax*y

where: a is positive and x & y are real

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6
Q

(ab)x

A

axbx

where: a & b are positive and x is real.

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7
Q

(a/b)x

A

ax / bx

where: a & b are positive and x is real

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8
Q

e

A

2.718281828

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9
Q

ax / ay

A

a(x - y)

where: a is positive and x & y are real

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10
Q

logb1

A

0

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11
Q

logbb

A

1

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12
Q

logb bx

A

x

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13
Q

b logbx

A

x

for x > 0

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14
Q

logb NM

A

logb N + logb M

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15
Q

logb (M/N)

A

logb M - logb N

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16
Q

logb Mp

A

plogb M

17
Q

y = loge x

A

ey = x

18
Q
A

the answer

19
Q

xa/b

A