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Gnesinka [82]
3 years ago
13

ОО

Mathematics
1 answer:
sattari [20]3 years ago
6 0
I honestly don’t know but I hope you find the answer to this question soon and have a good night good luck
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According to the Complex Conjugate Root Theorem, if a+bi is a root of a quadratic equation, then __blank__ is also a root of the
Trava [24]

Answer:

a-bi


Step-by-step explanation:

If a quadratic equation lx^2+mx+n=0 has one imaginary root as a+bi then the other root is the conjugate of a+bi = a-bi

Because we have l, m and n are real numbers and they are the coefficients.

Sum of roots = a+bi + second root = -m/l

When -m/l is real because the ratio of two real numbers, left side also has to be real.

Since bi is one imaginary term already there other root should have -bi in it so that the sum becomes real.

i.e. other root will be of the form c-bi for some real c.

Now product of roots = (a+bi)(c-bi) = n/l

Since right side is real, left side also must be real.

i.e.imaginary part =0

bi(a-c) =0

Or a =c

i.e. other root c-bi = a-bi

Hence proved.


3 0
3 years ago
Julio tested the point (4, –2) to see whether it is a solution to this system of equations. –3x – 2y = –8, y = 2x – 5 His work i
kolezko [41]

if it is solution point (4, –2) must satisfy both equations
(1) –3x – 2y = –8-->-3*4-2*(-2)=-8
-12+4=-8 then-->-8=-8   ok
(2)  y = 2x – 5
-2=2*4-5=3---------->-2 is not 3

the point  (4, –2) is not solution of the system of equations
6 0
3 years ago
Read 2 more answers
Assume that the average healthy body temperature is 98.249 degrees and the standard deviation is 0.733 degrees. How many standar
Leno4ka [110]

The standard deviation is 1.43 below the mean

<h3>How to determine the number of standard deviation?</h3>

The given parameters are:

Mean = 98.249

Standard deviation = 0.733

x = 97.2

To calculate the number of standard deviation below the mean, we use

x = \bar x - n\sigma

So, we have:

97.2 = 98.249 - n * 0.7333

Evaluate the like terms

-1.049  =- n * 0.7333

Divide both sides by -0.733

n =1.43

Hence, the standard deviation is 1.43 below the mean

Read more about standard deviation at:

brainly.com/question/15858152

#SPJ1

5 0
1 year ago
The sale price of a rucksack is £12, its normal price is £32. Write the ratio of the sale price to the normal price in its simpl
ozzi
What is the highest common factor of 12 and 32?
It is 4, so we divide both numbers by 4.
This gives us 3 : 8. This cannot be simplified further, therefore it is the simplest form.
8 0
3 years ago
NEEd help! Will help alot tysm!
xz_007 [3.2K]

Answer:

3rd one

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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