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aliina [53]
3 years ago
7

If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b

Mathematics
2 answers:
Naily [24]3 years ago
8 0

Answer:

Step-by-step explanation:the answer is a minus sign

gulaghasi [49]3 years ago
3 0
When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.

The first factor is x - (a + √b).
The second factor is x - (a - √b).

The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
      = x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
      = x² - 2ax + x√b - x√b + a² - b
      = x² - 2ax + a² - b

This is a quadratic polynomial, as expected.

If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
   = a +/- (1/2)*√(4b)
   = a +/- √b
x = a + √b, or x = a - √b, as expected.
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What is the sum of the zeros of the function: y= x^2 - 5x + 6?
yawa3891 [41]

Answer:

Step-by-step explanation:

The zeros are the values of x for which y = 0

Quadratic formula

x = [5 ± √(5² – 4·1·6)] / [2·1]

 = [5 ± √1] / 2

 = [5 ± 1] /2

 = 2, 3

sum of zeros = 5

7 0
3 years ago
Please help with this question​
vredina [299]

answer:

is that a quiz or a test? cuz if so, brainly doesn't let us do ur work. someone will report. but i wont. dw!

7 0
3 years ago
Read 2 more answers
What is the decimal multiplier to increase by 3%?
vaieri [72.5K]

Answer:

1.03

Step-by-step explanation:

The increase is 3% above the original 100%, thus

multiplier = 100 + 3 = 103% = \frac{103}{100} = 1.03

5 0
3 years ago
If the mean weight of 4 backfield members on the football team is 221 lb and the mean weight of the 7 other players is 202 lb, w
MatroZZZ [7]

Let x_1, x_2, x_3, x_4, x_5, x_6, x_7, x_8, x_9, x_{10}, x_{11} be the weight of i-th player.

1. If the mean weight of 4 backfield members on the football team is 221 lb, then

\dfrac{x_1+x_2+x_3+x_4}{4}=221\ lb.

2. If the mean weight of the 7 other players is 202 lb, then

\dfrac{x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}}{7}=202\ lb.

3. From the previous statements you have that

x_1+x_2+x_3+x_4=221\cdot 4=884 \lb,\\ \\x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}=202\cdot 7=1414\ lb.

Add these two equalities and then divide by 11:

x_1+x_2+x_3+x_4+x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}=884+1414=2298\ lb,\\ \\\dfrac{x_1+x_2+x_3+x_4+x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}}{11}=\dfrac{2298}{11}=208\dfrac{10}{11}\ lb.

Answer: the mean weight of the 11-person team is 208\dfrac{10}{11}\ lb.

4 0
3 years ago
Sandra walks two miles in 32 minutes, and she runs two miles in 24 minutes. Which of the following equations can be used to calc
Ludmilka [50]
I think it is 32 divided by 24=X
6 0
3 years ago
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