Question

X ^ 2 - 6x + 7 + 2/(x ^ 2 - 6x + 16) = 0 помогите пожалуйста)​

Answer 1

Ответ:

Пошаговое Объяснение:

Answer 2

Solving the Equation

To solve the equation X^2 - 6X + 7 + 2/(X^2 - 6X + 16) = 0, we can follow these steps:

Step 1: Simplify the equation by finding a common denominator for the fraction. The common denominator for the fraction is (X^2 - 6X + 16).

Step 2: Multiply both sides of the equation by (X^2 - 6X + 16) to eliminate the fraction.

Step 3: Simplify the equation further by expanding the brackets and combining like terms.

Step 4: Rearrange the equation to bring all the terms to one side and set it equal to zero.

Step 5: Factorize the quadratic equation.

Step 6: Solve for X by setting each factor equal to zero.

Let's go through these steps in detail.

Step 1: Simplify the equation by finding a common denominator for the fraction.

The common denominator for the fraction is (X^2 - 6X + 16).

Step 2: Multiply both sides of the equation by (X^2 - 6X + 16) to eliminate the fraction.

After multiplying both sides of the equation by (X^2 - 6X + 16), we get:

(X^2 - 6X + 7)(X^2 - 6X + 16) + 2 = 0

Step 3: Simplify the equation further by expanding the brackets and combining like terms.

Expanding the brackets, we have:

X^4 - 12X^3 + 55X^2 - 96X + 112 + 2 = 0

Simplifying, we get:

X^4 - 12X^3 + 55X^2 - 96X + 114 = 0

Step 4: Rearrange the equation to bring all the terms to one side and set it equal to zero.

Rearranging the equation, we have:

X^4 - 12X^3 + 55X^2 - 96X + 114 = 0

Step 5: Factorize the quadratic equation.

Unfortunately, the given equation is a quartic equation (degree 4), and there is no simple factorization method for quartic equations. Solving quartic equations usually involves more advanced techniques such as factoring by grouping, synthetic division, or using numerical methods.

Step 6: Solve for X by setting each factor equal to zero.

Since we were unable to factorize the equation, we cannot solve for X using traditional algebraic methods. To find the solutions, we can use numerical methods or graphing techniques.

Please note that without further information or constraints, it is not possible to determine the exact solutions to the equation. If you have any additional information or constraints, please provide them, and we can assist you further.