Math Unit 3 2
Terms
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copy deck
- complex numbers contain...
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in the form a+bi
-imaginary numbers- when b≠0
-real numbers- when b=0 - imaginary numbers...
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imaginary- a≠0 and b≠0
pure imaginary- a=0 but still b≠0 - real numbers consist of...
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-rational numbers (can be expressed as a fraction)
-irrational numbers (can't) - rational...
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-integers- increments of 1
-rational numbers that aren't- eveything else - integers
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-whole- 0 and up
-negative- < 0 - whole...
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natual- 1 and up
zero-0 - radical terms...
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radicand- in the radical
index- the number sitting on the radical's nose - we use the absolute value signs when...
- the index is an even number, and the power of the radicand is even
- conjugates
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conjugate of a + bi is a - bi
complex # and its conjugate=real number - powers of i
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i= square root of -1
i 2= -1
i 3= -i
i 4= 1 - quadratic formula
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-b ± √b2+ 4ac
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2a - discriminant is negative
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2 imag conjugates
0 x int - positive square
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2 real rational roots
2 rat x int - positive- not perf square
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2 real irrational roots
2 irrational x int - 0
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2 real rational eaqual roots (aka- 1 double root)
1 x int