Question

X2-2x-5/(x-3)(x-1) + 1/x-3=1/-дробная черта​

Answer 1

Ответ:

..... ... ......

нет решений

Answer 2

To simplify the expression, let's find the common denominator and combine the fractions. The common denominator for the two fractions is (x - 3)(x - 1).

The expression is:

[(x^2 - 2x - 5) / ((x - 3)(x - 1))] + (1 / (x - 3)) = 1 / (common denominator)

Step 1: Find the common denominator and combine the fractions:

[(x^2 - 2x - 5) + (x - 1)] / ((x - 3)(x - 1)) = 1 / ((x - 3)(x - 1))

Step 2: Combine like terms in the numerator:

(x^2 - 2x - 5 + x - 1) / ((x - 3)(x - 1)) = 1 / ((x - 3)(x - 1))

Step 3: Simplify the numerator:

(x^2 - x - 6) / ((x - 3)(x - 1)) = 1 / ((x - 3)(x - 1))

Now, we have:

(x^2 - x - 6) / ((x - 3)(x - 1)) = 1 / ((x - 3)(x - 1))

Step 4: Cross-multiply to eliminate the fractions:

(x^2 - x - 6) = 1

Step 5: Move all terms to one side of the equation to set it to zero:

x^2 - x - 6 - 1 = 0

Step 6: Simplify the equation:

x^2 - x - 7 = 0

Now, we have a quadratic equation. We can solve it by factoring, completing the square, or using the quadratic formula. In this case, let's use the quadratic formula:

The quadratic formula is given by:

x = (-b ± √(b^2 - 4ac)) / 2a

Where a = 1, b = -1, and c = -7.

x = (1 ± √((-1)^2 - 4 * 1 * (-7))) / 2 * 1

x = (1 ± √(1 + 28)) / 2

x = (1 ± √29) / 2

So the two possible solutions for x are:

1. x = (1 + √29) / 2 (approximately 2.791)
2. x = (1 - √29) / 2 (approximately -1.791)