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aleksandr82 [10.1K]
3 years ago
12

Which two values of x are roots of the polynomial below x^2-11x+17

Mathematics
1 answer:
svetlana [45]3 years ago
3 0

<u>Answer</u>

9.14   and 1.86


<u>Explanation</u>

x²-11x+17

The first thing is to equate it to zero.

x²-11x+17 = 0

x²-11x = -17

x² - 11x + (11/2)² = -17 + (11/2)²

(x² - 11/2)² = -17 + 121/4

(x - 11/2)² = 13.25

x -11/2 = √13.25                            or      x - 11/2 = -√13.25

x = √13.25 + 11/2                                            x = -√13.25 + 11/2

   = 3.64 + 5.5                                                     = -3.64 + 5.5

   = 9.14                                                              = 1.86

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Read 2 more answers
Two negative integers have a sum of -12 and a
emmainna [20.7K]

Answer:

The two integers are -1 and -11

Step-by-step explanation:

If you add -1 to -11, you would apply the rule of adding negatives (add then put the sign of the larger number). 11+1=12. They are both negative, so it would then become -12. -1 X -11=11 because when multiplying negatives, two of the same sign are positive

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3 years ago
13. For the arithmetic sequence: 6, 12, 18, 24,...
serg [7]

a_15 = 90

a_n = 6n

Step-by-step explanation:

Given sequence is:

6, 12, 18, 24,...

First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

d=a_2-a_1 = 12-6 = 6\\d=a_3-a_2= 18-12 = 6

The general form for arithmetic sequence is:

a_n=a_1+(n-1)d

Putting the values for a_1 and d

a_n=6+(n-1)(6)\\a_n=6+6n-6\\a_n=6n

<u>a) Find a15</u>

a_{15} = 6(15)\\=90

<u>b) Write an equation for the nth term.</u>

The equation is: a_n=6n

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

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3 years ago
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