Question

X+1/ 6 +20/x-1=4 решить через дисикриминант​

Answer 1

$x + \frac{1}{6} + \frac{20}{x} - 1 = 4 \\ 6 {x}^{2} + x + 120 - 6x = 24x \\ 6 {x}^{2} - 5x + 120 - 24x = 0 \\ 6 {x}^{2}$

$6 {x}^{2} - 29x + 120 = 0 \\ d = 841 - 4 \times 6 \times 120 = \\ 841 - 2880 = - 2039$

Нет решения

Answer 2

Ответ: корней нет

Пошаговое объяснение:

X+1/ 6 +20/x-1=4 |×6x

6x^2+x+120-6x=24x

6x^2-29x+120=0

D=29^2-4×6×120<0 - корней нет

x∉R

Answer 3

I assume you meant to write the equation as:

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(x+1)/6 + 20/(x-1) = 4

To solve for x using the discriminant, we first need to simplify the equation by multiplying both sides by 6(x-1) to clear the denominators:

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(x+1)(x-1) + 120 = 24(x-1)
x^2 - x + 1 + 120 = 24x - 24
x^2 - 25x + 143 = 0

Now we can use the quadratic formula to solve for x:

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x = (-b ± sqrt(b^2 - 4ac)) / (2a)

where a = 1, b = -25, and c = 143. Substituting these values, we get:

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x = (-(-25) ± sqrt((-25)^2 - 4(1)(143))) / (2(1))
x = (25 ± sqrt(25^2 - 4*1*143)) / 2

Simplifying under the square root:

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x = (25 ± sqrt(25)) / 2 or (25 ± sqrt(281)) / 2
x = 13 or 12.43 (rounded to two decimal places)

Therefore, the solutions are x = 13 and x = 12.43.