Question

[(-5)^2:8.(3)-36*18]*(x+1)=√9-3x

Answer 1

Ответ:

Нет решений

Пошаговое объяснение:

(25: (25/3)-36*18)*(х+1)=sqrt(3)*sqrt(3-x)

-645*(x+1)=sqrt(3)*sqrt(3-x)

Возведем обе части в квадрат, а потом проверим не появились ли лишние корни.

(645)^2(x^2+2x+1)=9-3x

x^2+(2+3/(645)^2)x+1-9/(645)^2=0

(х+1+1,5/(645)^2))^2=-1+9/(645)^2+2,25/(645)^4)

Очевидно справа число отрицательное, так что решений нет.

Answer 2

Let's solve the equation step by step:

1. Simplify the left-hand side (LHS):

   [(-5)^2 : 8 . (3) - 36 * 18] * (x + 1)

   First, calculate the expressions inside the brackets:

   [(-5)^2 : 8 . 3 - 36 * 18]

   (-5)^2 = (-5) * (-5) = 25

   8 . 3 = 24

   [25 : 24 - 36 * 18]

   Now, perform the division and multiplication:

   [1.041666... - 648]

   Finally, calculate the result inside the square brackets:

   -646.958333...

   Now, the equation becomes:

   (-646.958333...) * (x + 1) = √(9 - 3x)

2. Solve for x:

   To simplify the equation further, we can get rid of the square root on the right-hand side (RHS):

   (√(9 - 3x))^2 = (3 - x)^2 = 9 - 6x + x^2

   Now, the equation is:

   (-646.958333...) * (x + 1) = 9 - 6x + x^2

   To solve for x, we can rearrange the equation to form a quadratic equation:

   x^2 - 6x - 646.958333... - 9 = 0

   x^2 - 6x - 655.958333... = 0

   Unfortunately, this is a messy equation with irrational numbers, and it doesn't appear to have simple rational solutions. The solution would involve using the quadratic formula, but it would lead to complex values of x.

   So, the equation appears to have complex solutions for x. However, without the specific value of x, we cannot provide a precise solution in decimal form.

If you have a specific value of x or if you suspect there's a mistake in the equation, please let me know, and I'll be glad to assist you further!