Question

180х+170х(25-х)=4400

Answer 1

Ответ:

Начнем с того, что поделим все на 10

$18x+17x(25-x)=440$

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Answer 2

Ответ:

Объяснение:

поделим на 10,

18x+17x(25-x)=440,  18x+425x-17x^2-440=0,

-17x^2+443x-440=0,   17x^2-443x+440=0

D=443^2-4*17*440=196249-29920=166329  не извлекается

Answer 3

To solve the equation, we need to find the value of x. Let's go step-by-step:

180x + 170x(25 - x) = 4400

First, distribute the 170x:

180x + 170x * 25 - 170x^2 = 4400

Now, move all terms to one side to set the equation to zero:

180x + 4250x - 170x^2 - 4400 = 0

Now, combine like terms:

180x + 4250x - 170x^2 - 4400 = 0 4420x - 170x^2 - 4400 = 0

Now, the equation is in standard quadratic form (ax^2 + bx + c = 0). We can solve it by factoring or using the quadratic formula. Since it doesn't seem to factor easily, let's use the quadratic formula:

For an equation of the form ax^2 + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b^2 - 4ac)) / 2a

In our equation, a = -170, b = 4420, and c = -4400:

x = (-(4420) ± √((4420)^2 - 4(-170)(-4400))) / 2(-170)

Now, calculate the discriminant:

Discriminant = (4420)^2 - 4(-170)(-4400) Discriminant = 19536400 - 2992000 Discriminant = 16544400

Now, substitute the discriminant back into the quadratic formula:

x = (-(4420) ± √16544400) / 2(-170)

x = (-4420 ± √16544400) / -340

Now, calculate the square root of the discriminant:

√16544400 ≈ 4063.31

Now, find both solutions for x:

x = (-4420 + 4063.31) / -340 ≈ -11.29 x = (-4420 - 4063.31) / -340 ≈ 24.91

So, the solutions for the equation are approximately x = -11.29 and x = 24.91.