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Marina86 [1]
3 years ago
11

Use the method of completing the square to solve x2 - 6x + 1 = 0. Simplify your solutions.

Mathematics
1 answer:
exis [7]3 years ago
8 0

Answer:

x = 3 ± 2\sqrt{2}

Step-by-step explanation:

given

x² - 6x + 1 = 0 ( subtract 1 from both sides )

x² - 6x = - 1

To complete the square

add (half the coefficient of the x- term)² to both sides

x² - 6x + (- 3)² = - 1 + (- 3)²

x² - 6x + 9 = - 1 + 9

(x - 3)² = 8 ( take the square root of both sides )

x - 3 = ± \sqrt{8} = ± 2\sqrt{2} ( add 3 to both sides )

x = 3 ± 2\sqrt{2}

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What is 1/3 eqaul to?
MissTica
It equal to .3333333333333333333333333333333333......
4 0
2 years ago
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877 to binary, octal, and hexadecimal
statuscvo [17]
Our number system is in base 10, which means that each digit has a value that is a multiple of 10.

For ex:
877 literally means
8  7  7   where each digit is multiplied by
10^ 2   10 ^1   10^0  respectively
which is 8 * 10^ 2 + 7 * 10^1 + 7 * 10^0 = 8 * 100 + 7 * 10 + 7 * 1 = 800 + 70 + 7 = 877

Binary is in base 2, so each of its digits (which can only be 0 or 1) are multiplied by multiples of 2 (2^0, 2^1, 2^2 ect.)

To find what 877 is in binary you can do the following:
the symbol : means divide and i'll write the quotient + the remainder

877 : 2 = 438 + 1  (438 is the quotient, 1 is the remainder)
438 : 2 = 219 + 0
219 : 2 = 109 + 1
109 : 2 = 54 + 1
54 : 2 = 27 + 0
27 : 2 = 13 + 1
13 : 2 = 6 + 1
6 : 2 = 3 + 0
3 : 2 = 1 + 1
1: 2 = 0 + 1

now write ALL off the remainders from BOTTOM to TOP:
1101101101

use a similar step for octal (use 8 instead of 2 as the divisor) and hexidecimal (use 16 instead of 2 as the divisor) 


6 0
2 years ago
Can anyone answer this for me?
Sunny_sXe [5.5K]

Answer:

y = 2 - x^{2}

Step-by-step explanation:

x^{2} results in a parabola (U-shape). Adding a negative in front of it flips the parabola to look like an upside-down U.

The 2 makes it shift up two decimal spots to (0,2).

8 0
2 years ago
15/40 in lowest term I need it so bad now
Vesnalui [34]

In order to reduce ANY fraction to lowest terms, find any common factors
of the numerator and denominator, and divide them both by it.  If they still
have a common factor, then divide them by it again.  Eventually, they won't
have any common factor except ' 1 ', and then you'll know that the fraction is
in lowest terms.

Do  15  and  40  have any common factors ?
Let's see . . .

The factors of  15  are  1,  3,  <em>5</em>, and  15 .
The factors of  40  are  1,  2,  4,<em>  5</em>,  8,  10,  20, and  40 .

Ah hah !  Do you see that ' <em>5</em> ' on both lists ?  That's a common factor.

So  15/40  is NOT in lowest terms.

Divide the numerator and denominator both by  5 :

       15 / 40  =<em>  3 / 8</em>

3  and  8  don't have any common factor except ' 1 '. 
So  3/8  is the same number as  15/40, but in lowest terms.


5 0
3 years ago
Read 2 more answers
Can someone please help
kicyunya [14]

Answer:

hardd  sorry

Step-by-step explanation:>..

7 0
2 years ago
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