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Imaginary Unit
- i =
 - i2=-1
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Complex Numbers are in the form:
a+bi
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-4-
- factor out imaginary number
- combine like terms if any
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(4-2i)-(-2+5i) or (4-2i)+(-2+5i)
add/subtract like terms
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(1- ) + (-6+ )
- seperate - from square root
- find square of the positive numbers
- attached i to squared numbers
- combine like factors
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5i(3-2i)
- distribute 5i
- multiply out the i2 (-1)
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(-6+8i)(7-2i)
- FOIL
- mulitply for imaginary number (i2=-1)
- combine like terms
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- multiply by the conjugate (-7i)
- distribute in the num, multiply in the denomsimplify is possible
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- multiply by the conjugate (9-i)
- distribute in the num.
- FOIL in the denom.
- multiply for i2 (-1)
- separate answer into two fractions & simplify if possible
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|4-6x| = |4x-1|
- 1) use rule |M|=|V| ⇒m±v
- 2) write equation as
- 4-6x=4x-1 and 4-6x=-(4x-1)
- 3) Solve for X in each equation
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|4x+1| > 3
- 1) Use rule |M|>a, M<-a or M>a
- 2) Rewrite equation as -4x+1<-3 & -4x+1>3
- 3) Solve for X
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- 1) Add equation within root
- 2) Square response
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- 1) , is root is even
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- 1) Divide num and denom by root (5)
- 2) divide remaining fraction
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272/3
1) can be figured out on calculator
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20
- 1) multiple exponents
- 2) reduce fraction
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6(32x5/6y-3)2/5
- 1) distribute exponent outside of the ()
- 2) multiply exponents
- 3) create fraction with negative exponent on the bottom
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- 1) make indexes exponents
- 2) Simplify exponents
- 3) subtract exponents
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- 1) factor out 63
- 2) find roots of numbers
- 3) factor out exponents of variables
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- 1) combine factors
- 2) multiply factors
- 3) factor out variables
- 4) find the roots of the variables
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- 1) Simplify large variables
- 2) Square variables
- 3) subtract variables
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