All categories

3 years ago

Hey guys I needed a help Solve 2x -3/x=1

Mathematics

1 answer:

pishuonlain [190]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

Given

2x - $\frac{3}{x}$ = 1

Multiply through by x

2x² - 3 = x ( subtract x from both sides )

2x² - x - 3 = 0 ← in standard form

To factorise the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

The factors are + 2 and - 3

product = 2 × - 3 = - 6 and sum = 2 - 3 = - 1

Use these factors to split the x- term

2x² + 2x - 3x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(x + 1) - 3(x + 1) = 0 ← factor out (x + 1) from each term

(x + 1)(2x - 3) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = $\frac{3}{2}$

You might be interested in

Please help . 20 points for right answer

siniylev [52]

You would add up the percentages first, which would bring everything up to 35%. You would then take the original cost of the item, which is $30 and multiple it by the 35%.

The equation would look like...

30 x .35 =

This will give you $10.50, which isn't the final answer.

You would then subtract 10.50 from the $30 that was asked for at the beginning by the retailer.

Your final answer is $19.50. :) Which isn't a bad deal if I say so myself.

3 0

2 years ago

Since only 2 of the 50 states are not connected to the mainland, what percentage of the states ARE on the mainland?

Nitella [24]

Answer:

96%

Step-by-step explanation:

too easy for me

6 0

3 years ago

On December 31, 2016, Osborn Company purchased 30% of Shea Company’s common stock for $220,000. During 2017, Shea Company had a

lidiya [134]

Answer:

the balance of Osborn’s Equity Investment (Shea) account be at the end of 2017 is $233,500

Step-by-step explanation:

Given data

Acquistion price = $220000

purchased = 30%

net income = $75,000

cash dividends = $30,000

to find out

the balance of Osborn’s Equity Investment (Shea) account be at the end of 2017

solution

we will find out balance of investment i.e. given by formula

balance of investment = Acquistion price + share of income - share of dividend .................1

so here

share of income = 30% of net income

share of income =30% × 75,000 = $22500 ..............2

and

share of dividend = 30% of cash dividends

share of dividend = 30% × 30000 = $9000 ...............3

put equation 2 and 3 in equation 1 and we get

balance of investment = Acquistion price + share of income - share of dividend

balance of investment = 220000 + 22500 - 9000

balance of investment = $233,500

7 0

3 years ago

(Order is anti-symmetric) If a > b and b > a, then a = b. (e) a

kirill115 [55]

Answer:

a=b

Step-by-step explanation:

An antisymmetric relation () satisfies the following property:

If (a, b) is in R and (b, a) is in R, then a = b.

This means that if a|b and b|a then a = b

If a|b then, b can be written as b = an for an integer n

If b|a then a can be written as a= bm for an integer m

Now we have b = (a)n = (bm)n

b = bmn

1 =mn

But since m and n are integers, the only two integers that satisfy this property would be m = n = 1

Therefore, b = an = a (1) = a ⇒b = a

5 0

3 years ago

Please answer this question and thank you for your help

lions [1.4K]

The correct anwser is C.) (2,4)

5 0

3 years ago