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2 years ago

If a=b-2x/x+c,then what is the value of x in terns of a,b & c ?

Mathematics

1 answer:

valina [46]2 years ago

8 0

Answer:

$x=\frac{b-ac}{a+2} ; a\neq -2$

Step-by-step explanation:

Multiply both sides: by x+c

a(x+c)= $\frac{b-2x}{x+c}$ (x+c)

Simplify: a(x+c)=b-2x

Expand: ax+ac=b-2x

Subtract ac from both sides: ax+ac-ac=b-2x-ac

Simplify: ax=b-2x-ac

Add 2x to both sides: ax+2x=b-2x-ac+2x

Simplify: ax+2x=b-ac

Factor ax+2x: x(a+2)

x(a+2)=b-ac

Divide both sides by a+2: $\frac{x(a+2)}{a+2}$ = $\frac{b}{a+2}$ - $\frac{ac}{a+2}$ ; a≠-2

Simplify: $x=\frac{b-ac}{a+2} ; a\neq -2$

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I really need some help with this, if someone could put in an answer that would be a lot of help!

Black_prince [1.1K]

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2 years ago

Using a rule why is = to 3 x + 4 find the value of y when x is 2

Alex73 [517]

X=2 so 2+4=6 so y=6. I just gone ovee this unit aswell.

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3 years ago

Pen are shipped to the office supply store in boxes of 12 each. Write a function rule to calculate the total number of pens when

Tom [10]

p = 12x is the function rule to calculate the total number of pens when you know the number of boxes

Solution:

Given that,

Pen are shipped to the office supply store in boxes of 12 each

To find: Write a function rule to calculate the total number of pens when you know the number of boxes

Let "p" be the total number of pens

Let "x" be the number of boxes

Number of pens in each box = 12

Then from given information,

Total number of pens = Number of boxes multiplied by number of pens in each box

$p = x \times 12\\\\p = 12x$

Thus the function rule is found

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3 years ago

Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin

Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

$\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}$

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

$\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}$

Multiply both the sides by x.

$\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}$

Again multiply both the sides by x

$2x^{2} -2x-12 = 5x^{2} +18x$

$\implies 5x^{2} -2x^{2} +18x +2x +12 = 0$

$\implies 3x^{2} + 18x+2x + 12 = 0$

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

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1 year ago

Please help Please also explain

schepotkina [342]

Answer: it is equal

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2 years ago

If a=b-2x/x+c,then what is the value of x in terns of a,b & c ?​

If a=b-2x/x+c,then what is the value of x in terns of a,b & c ?