Answer:
p = x² − 6x + 10
Step-by-step explanation:
Complex roots come in conjugate pairs. So if 3−i is a root, then 3+i is also a root.
p = (x − (3−i)) (x − (3+i))
p = x² − (3+i)x − (3−i)x + (3−i)(3+i)
p = x² − 3x − ix − 3x + ix + (9 − i²)
p = x² − 6x + 10
You can check your answer using the quadratic formula.
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ 6 ± √(36 − 40) ] / 2
x = (6 ± 2i) / 2
x = 3 ± i
8x+12y=120
8 packs -> x value
12 packs -> y value
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total amt. of beverages is 120
Answer:
y=6x+4
Step-by-step explanation:
Y=mx+b
m=6
b=4
Y=6x+4
Answer:
Let the present age of the man be x years.
Age of the man 15 years ago =(x−15) years and
Age of the man 15 years later =(x+15) years
According to the given condition, we have
(x+15)=2(x−15)
⇒x+15=2x−30
⇒x−2x=−30−15
⇒−x=−45 or x=45 years
Hence, the present age of the man is 45 years.
Step-by-step explanation:
Hope it helps you..
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