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3 years ago

2xsquare-6x+3=0 by completing square method

Mathematics

1 answer:

Arturiano [62]3 years ago

5 0

Answer:

x = 2.36603 or 0.633975

Step-by-step explanation:

Here we want to solve the quadratic equation using the completing the square method.

2x^2-6x + 3 = 0

divide through by 2 first;

x^2 -3x + 3/2 = 0

x*2 -3x = -3/2

Half the x term will be -3/2 and squaring it is 9/4

we add this to both sides

x^2-3x/2 + 9/4 = -3/2 + 9/4

(x-3/2)^2 = 3/4

Finding square root of both sides

x-3/2 = √(3/4)

x = 3/2 ± √(3/4)

x = 3/2 + √(3/4) or x = 3/2-√(3/4)

which becomes

x = 2.36603 or 0.633975

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The first term of a sequence is 9 and the common difference is 5. Which of the following is the fifth term of the sequence?

spayn [35]

Answer:

Step-by-step explanation:

9+5=14+5=19+5=24+5=29

5 0

3 years ago

Given that g(x)=2x^2-5. Calculate g(x+4)+2

Dimas [21]

Answer:

$2x^2+16x+29$

Step-by-step explanation:

Given that,

$g(x)=2x^2-5$

We need to find g(x+4)+2

$g(x+4)=2(x+4)^2-5\\\\=2(x^2+16+8x)-5\\\\=2x^2+32+16x-5\\\\=2x^2+16x+27$

Now,

$g(x+4)+2=2x^2+16x+27+2\\\\=2x^2+16x+29$

So, the value of $g(x+4)+2$ is $2x^2+16x+29$

7 0

3 years ago

Given the sequence below, and that sequence has a domain of n 2 1, find the fifth

solmaris [256]

The fifth term of f(n) = n² - 3 is 22

$\texttt{ }$

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

Tn = n-th term of the sequence

Sn = sum of the first n numbers of the sequence

a = the initial term of the sequence

d = common difference between adjacent numbers

$\texttt{ }$

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

Tn = n-th term of the sequence

Sn = sum of the first n numbers of the sequence

a = the initial term of the sequence

r = common ratio between adjacent numbers

Let us now tackle the problem!

$\texttt{ }$

Given:

f(n) = n² - 3

Asked:

f(5) = ?

Solution:

$\texttt{for } n \geq 1 :$

$f(n) = n^2 - 3$

$f(5) = 5^2 - 3$

$f(5) = 25 - 3$

$f(5) = \boxed{22}$

$\texttt{ }$

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

7 0

4 years ago

***WILL GIVE BRAINLIEST***

AlekseyPX

Answer:

a.) Selecting two red balls (because there are more red balls than white)

c.) Selecting 1 red ball and then 1 white ball (because there is also a chance of selecting a white ball after selecting a red ball)

(Not kinda sure)

Hope this helps......

4 0

3 years ago

Marla is looking for a new car. She has test-driven two cars but can only purchase one. The probability that she will purchase c

marissa [1.9K]

The probability that she won't buy either car is .10. You add the two probabilities that were previously stated and then subtract them from 1.00.

.52 + .38 = .90

1.00 - .90 = .10

6 0

3 years ago

Read 2 more answers