Ask question

Ask question

All categories

3 years ago

11

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

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 $\sqrt{2}$

You might be interested in

Y is directly proportional to x,and y=216 when x=2. Find y when x=7.

makkiz [27]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=216\\
x=2
\end{cases}\implies 216=k2\implies \cfrac{216}{2}=k
\\\\\\
108=k\qquad therefore\qquad \boxed{y=108x}
\\\\\\
\textit{when x = 7, what is \underline{y}?}\qquad y=108(7)$

6 0

3 years ago

A certain scale has an uncertainty of 4 g and a bias of 2 g. A single measurement is made on this scale. What are the bias and u

Fed [463]

Answer: 0.8

Step-by-step explanation:

given data:

uncertainity = 4g

bias = 2g

solution:

σX =0.2 and σY = 0.4

σcX

= 3σX

= 4(0.2)

= 0.8

6 0

4 years ago

-5n-6n< 8-8n-n <br> can someone please give me the answer?

Olin [163]

Answer:

-5n-6n< 8-8n-n

-11n < -9n + 8

-2n < 8

<u>n > -4</u>

4 0

3 years ago

Read 2 more answers

Divide. Write your answer as a fraction in simplest form.<br><br> −1/5÷20=

Arturiano [62]

Answer:

-1/100

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

I know that: the first term of the sequence is -2, and the fifth term is - 1/8 . What is the 2nd term, 3rd term 4th term do you

Murljashka [212]

Solution

Here the first term = -2

5th term = -1/8

Now we have to find the common ratio (r)

Fifth term A5 = -1/8

-1/8 = $a_{1} r^{4}$

Here $a_{1} = -2$

Plug in $a_{1} = -2$ in the fifth term and find the value of r.

-1/8 = -2 $r^{4}$

$r^{4} = \frac{-1/8}{-2}$

$r^{4} = \frac{1}{16}$

Taking 4th root, we get

r = $\frac{1}{2}$

Now let's find the second term.

$a_{2} =$ first term *r = -2 *1/2 = -1

2nd term = -1

3rd term = second term * 1/2 = -1 * 1/2 = -1/2

4th term = 3rd term *r = -1/2 *1/2 = -1/4

Thank you :)

6 0

3 years ago