Question

5х-7 дробь х-3=4х-3 дробь 3

Answer 1

На фото решен пример! Подробно

Answer 2

To solve the equation, let's first write it in a clearer form:

(5x - 7)/(x - 3) = (4x - 3)/3

To solve for x, we'll cross-multiply to eliminate the denominators:

(5x - 7) * 3 = (4x - 3) * (x - 3)

Now, let's expand the equation:

15x - 21 = 4x^2 - 15x + 9

Next, bring all terms to one side of the equation to form a quadratic equation:

4x^2 - 15x + 9 - 15x + 21 = 0

Combine like terms:

4x^2 - 30x + 30 = 0

Now, we'll solve the quadratic equation. However, it looks like the equation cannot be easily factored, so we'll use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

Where a = 4, b = -30, and c = 30:

x = (30 ± √((-30)^2 - 4 * 4 * 30)) / 2 * 4

x = (30 ± √(900 - 480)) / 8

x = (30 ± √420) / 8

Now, calculate the two possible values for x:

x = (30 + √420) / 8 ≈ 4.51

x = (30 - √420) / 8 ≈ 0.99

So, the two solutions for the equation are approximately x ≈ 4.51 and x ≈ 0.99.