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Effectus [21]
3 years ago
9

X^2-6x+9=0 solve by completing the square

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
5 0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
-
b
±
b
2
-
4
(
a
c
)
2
a
Substitute the values
a
=
1
a
=
1
,
b
=
0
b
=
0
, and
c
=
−
9
c
=
-
9
into the quadratic formula and solve for
x
x
.
0
±
√
0
2
−
4
⋅
(
1
⋅
−
9
)
2
⋅
1
0
±
0
2
-
4
⋅
(
1
⋅
-
9
)
2
⋅
1
Simplify.
Tap for more steps...
x
=
±
3
x
=
±
3
The final answer is the combination of both solutions.
x
=
3
,
−
3
LuckyWell [14K]3 years ago
5 0

Answer:

x=3

Step-by-step explanation:

Step 1: Subtract 9 from both sides.

x2−6x+9−9=0−9

x2−6x=−9

Step 2: The coefficient of -6x is -6. Let b=-6.

Then we need to add (b/2)^2=9 to both sides to complete the square.

Add 9 to both sides.

x2−6x+9=−9+9

x2−6x+9=0

Step 3: Factor left side.

(x−3)2=0

Step 4: Take square root.

x−3=±√0

Step 5: Add 3 to both sides.

x−3+3=3±√0

x=3±√0

x=3+0 or x=3−0

x=3

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CaHeK987 [17]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
Evaluate the line integral, where c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)
Arada [10]

The value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

<h3>What is integration?</h3>

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

The parametric equations for the line segment from (0, 0, 0) to (2, 3, 4)

x(t) = (1-t)0 + t×2 = 2t  

y(t) = (1-t)0 + t×3 = 3t

z(t) = (1-t)0 + t×4 = 4t

Finding its derivative;

x'(t) = 2

y'(t) = 3

z'(t) = 4

The line integral is given by:

\rm \int\limits_C {xe^{yz}} \, ds = \int\limits^1_0 {2te^{12t^2}} \, \sqrt{2^2+3^2+4^2} dt

 

\rm ds = \sqrt{2^2+3^2+4^2} dt

After solving the integration over the limit 0 to 1, we will get;

\rm \int\limits_C {xe^{yz}} \, ds = \dfrac{\sqrt{29}}{12}  (e^{12}-1)   or

= 73037.99 ≈ 73038

Thus, the value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

Learn more about integration here:

brainly.com/question/18125359

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7 0
2 years ago
What is the common ratio of 40,12,3.6
slava [35]

Answer:

0.3

Step-by-step explanation:

Divide the second term (12) with the first term (40), and you'll get 0.3

This is correct because you get the terms in the correct order when multiplying:
(First term: 40. Common ratio: 0.3)
40 x 0.3 = <u>12</u>
<u>12</u> x 0.3<em> </em>= <em>3.6</em>

40, <u>12</u>, <em>3.6</em>

3 0
2 years ago
4.1338 divide by 0.22
Murljashka [212]

I got the answer 18.79

I believe this is correct, Please tell me if im wrong. :)

3 0
3 years ago
Read 2 more answers
Kelly and Daniel wrote the following proofs to prove that vertical angles are congruent. Who is correct?
levacccp [35]
Daniel is correct, but Kelly is not
3 0
3 years ago
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