Question

Х²•(1-х)+(х-1)= как решить ?!

Answer 1

Х²•(1-х)+(х-1)
Если х²•(1>х)+(х>1),то х=1 , тогда х²•(1-х)+(х-1)=1²•(1-1)+(1-1)=1•(0+0)=1•0=0

Answer 2

Equation Solution:

To solve the equation x²•(1-x) + (x-1) = 0, we can follow these steps:

1. Simplify the equation by expanding and combining like terms. 2. Factor the equation, if possible. 3. Solve for the values of x that make the equation equal to zero.

Let's go through each step in detail.

Step 1: Simplify the equation - Expand the equation: x²•(1-x) + (x-1) = 0 becomes x² - x³ + x - 1 = 0.

Step 2: Factor the equation - Unfortunately, the equation x² - x³ + x - 1 = 0 cannot be easily factored.

Step 3: Solve for x - Since we cannot factor the equation, we can use numerical methods or approximate solutions. - One way to find the solutions is by using a graphing calculator or software. - By graphing the equation, we can see that there are two solutions: approximately x = 0.5 and x ≈ 1.618. - Another method is to use numerical approximation methods like Newton's method or the bisection method.

In summary, the equation x²•(1-x) + (x-1) = 0 has two solutions: approximately x = 0.5 and x ≈ 1.618.