Question

Решить выражение 35.6 2)10+(3- x)^3=x^2 (9-x)-17; 4)11-x^2 (x+9)=8x- (x+3)^3

Answer 1

Если не понятно, напиши.

Answer 2

To solve the given equations, we'll take them one by one:

1. 35.6(2)10 + (3 - x)^3 = x^2(9 - x) - 17

Let's solve the equation step by step:

Step 1: Simplify the left-hand side 35.6(2)10 = 35.6 * 2 * 10 = 712 (3 - x)^3 = (3 - x)(3 - x)(3 - x) = (27 - 9x + x^2)

So the equation becomes: 712 + (27 - 9x + x^2) = x^2(9 - x) - 17

Step 2: Expand the right-hand side x^2(9 - x) = 9x^2 - x^3

So the equation becomes: 712 + (27 - 9x + x^2) = 9x^2 - x^3 - 17

Step 3: Move all terms to one side to set the equation to zero x^3 + 9x^2 - x^2 + 9x - 17 - 712 = 0

Step 4: Combine like terms x^3 + 8x^2 + 9x - 729 = 0

The equation is now in the form of a cubic equation, which can be challenging to solve analytically. You can use numerical methods or graphing calculators to find approximate solutions. Alternatively, you can try to factor the equation, but it may not always be feasible for cubic equations.

2. 11 - x^2(x + 9) = 8x - (x + 3)^3

Let's solve the equation step by step:

Step 1: Expand the right-hand side (x + 3)^3 = (x + 3)(x + 3)(x + 3) = (x^2 + 6x + 9)(x + 3) = x^3 + 9x^2 + 27x + 27

So the equation becomes: 11 - x^2(x + 9) = 8x - (x^3 + 9x^2 + 27x + 27)

Step 2: Distribute the negative sign on the right-hand side 11 - x^2(x + 9) = 8x - x^3 - 9x^2 - 27x - 27

Step 3: Move all terms to one side to set the equation to zero -x^3 - 9x^2 - 27x + x^2(x + 9) - 8x + 11 + 27 = 0

Step 4: Combine like terms -x^3 - 8x^2 - 35x + x^3 + 9x^2 = 0

Step 5: Simplify x^3 + x^2 - 35x = 0

The equation is now in the form of a cubic equation. To solve for x, you can use numerical methods or graphing calculators to find approximate solutions.

Please note that these equations involve cubic terms, which might not have straightforward analytical solutions. Numerical methods or graphing calculators can be used to find approximate solutions.