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28 Cards in this Set
- Front
- Back
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i^0
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1
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i^1
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i
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i^2
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-1
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i^3
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-i
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quadratic formula
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finds the roots
x equals negative B plus or minus the square root of B sqaured minus 4(a)(c) all over 2(a) |
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discriminant
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describes the roots
the square root of b squared minus 4(a)(c) |
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sum of roots
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-b
___ a |
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product of roots
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c
___ a |
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if x>0 and perfect square:
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1) roots are real, rational and unequal
2) 2 x-intercepts |
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if x<0, not a perfect square
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1)roots are real, irrational, unequal
2)2 x-intercepts |
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if x=0
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1)roots are real, rational and equal
2)1 x-intercept, tangent to the x-axis |
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if x<0
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1)imaginary roots
2)no x intercepts x^2= above the x axis -x^2= below the x axis |
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what can't you have in the denominator of a fraction?
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i and a radical
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i^0
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1
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i^1
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i
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i^2
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-1
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i^3
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-i
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quadratic formula
|
finds the roots
x equals negative B plus or minus the square root of B sqaured minus 4(a)(c) all over 2(a) |
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|
discriminant
|
describes the roots
the square root of b squared minus 4(a)(c) |
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sum of roots
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-b
___ a |
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product of roots
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c
___ a |
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|
if x>0 and perfect square:
|
1) roots are real, rational and unequal
2) 2 x-intercepts |
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if x<0, not a perfect square
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1)roots are real, irrational, unequal
2)2 x-intercepts |
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if x=0
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1)roots are real, rational and equal
2)1 x-intercept, tangent to the x-axis |
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if x<0
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1)imaginary roots
2)no x intercepts x^2= above the x axis -x^2= below the x axis |
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what can't you have in the denominator of a fraction?
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i and a radical
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|a+bi|
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x= the square root of a^2 + b^2
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the square root of a negative =
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i radical number or if its a perfect square, number then i
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