Question

2x−(2x2+14x+20)/x−5=1

Answer 1

Ответ:

-1

Объяснение:

Решение на фото

Answer 2

Раскрываем скобки, перед которыми стоит - , меняя знаки на противоположные, приводим обе части к общему знаменателю.

2x−(2x²+14x+20)/(x−5)=1

2х*(х-5)-2х²-14х-20=х-5

2х²-10х-2х²-14х-20-х+5=0

-44х=-5

х=5/44

Если в знаменателе не (х-5), а х в исходном уравнении, то решение такое  2x−(2x²+14x+20)/x−5=1

2х²-2х²-14х-20-5х-х=0

-20х=20

х=-1

Answer 3

To solve the equation 2x - (2x^2 + 14x + 20)/(x - 5) = 1, we'll start by simplifying the expression on the left side:

2x - (2x^2 + 14x + 20)/(x - 5) = 1

To simplify the fraction, we'll factor the quadratic expression in the numerator:

2x - (2x^2 + 14x + 20)/(x - 5) = 1 2x - (2(x^2 + 7x + 10))/(x - 5) = 1 2x - (2(x + 5)(x + 2))/(x - 5) = 1

Now we'll find a common denominator for the expression:

2x(x - 5)/(x - 5) - (2(x + 5)(x + 2))/(x - 5) = 1

Simplifying further:

2x(x - 5) - 2(x + 5)(x + 2) = x - 5

Expanding and collecting like terms:

2x^2 - 10x - 2(x^2 + 7x + 10) = x - 5 2x^2 - 10x - 2x^2 - 14x - 20 = x - 5 -24x - 20 = x - 5

Combining like terms:

-24x - 20 = x - 5

We'll isolate the variable terms on one side and the constant terms on the other side:

-24x - x = 5 - 20 -25x = -15

Dividing both sides of the equation by -25:

x = (-15)/(-25) x = 3/5

Therefore, the solution to the equation is x = 3/5.