A polynomial has one root that equals 4+17i name one other root of this polynomial

2 answers:

6 0

In any polynomial when you have an imaginary root, there is always another imaginary root that is the conjugate of the first one:
1st root: 4 + 17i
2nd root: 4 - 17i (the conjugate of the 1st one)

Jobisdone [24]3 years ago

6 0

4-17i is the answer to the problem

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Two cats, Tom and Bob, caught together 42 mice in three days. Each day, Tom caught twice as many mice as in the previous day, wh

lesya [120]

Answer:

During the first day, they caught 8 mice together.

Step-by-step explanation:

This exercise can be expressed using simple equations:

First, it says that Tom and Bob caught 42 mice in three days, this can be expressed as:

$T + B =42$ (0)

Then we have how many mice caught Tom each day, expressed as:

$T= T1+T2+T3$ (1)

Being T1 the amount of mice Tom caught in the first day, T2 the amount of mice Tom caught in the second day and T3 the amount of mice Tom caught in the third day

"Tom caught twice as many mice as in the previous day" can be expressed by:

$T3= 2T2\\T2=2T1$

Replacing in equation (1)

$T= T1+2T1+2T2=T1+2T1+4T1$

Thus, $T=7T1$ (2)

Then we have how many mice caught Bob:

$B= B1+B2+B3$ (3)

Being B1 the amount of mice Bob caught in the first day, B2 the amount of mice Bob caught in the second day and B3 the amount of mice Bob caught in the third day

"while Bob caught two more mice than in the previous day", can be expressed by:

$B3=B2+2\\B2=B1+2$