Question

4x-1/4x-3=x+2/1+x Help me!!!

Answer 1

Ответ:x = 21/8

Объяснение:

X=2 5/8 x=2, 625

Answer 2

To solve the equation 4x - 1 / 4x - 3 = x + 2 / 1 + x, you'll want to first clear the fractions by finding a common denominator. In this case, the common denominator is (4x - 3)(1 + x). Multiply both sides of the equation by this common denominator to eliminate the fractions:

[(4x - 1) / (4x - 3)] * [(4x - 3)(1 + x)] = [(x + 2) / (1 + x)] * [(4x - 3)(1 + x)]

Now, simplify both sides:

4x - 1 = (x + 2) * (4x - 3)

Next, distribute the right side:

4x - 1 = 4x^2 - 3x + 8x - 6

Now, combine like terms on the right side:

4x - 1 = 4x^2 + 5x - 6

To isolate the variable x, subtract 4x from both sides of the equation:

-1 = 4x^2 + 5x - 6 - 4x

Simplify the equation further:

-1 = 4x^2 + x - 6

Now, bring everything to one side of the equation to set it equal to zero:

4x^2 + x - 6 + 1 = 0

4x^2 + x - 5 = 0

Now, you have a quadratic equation in the form of ax^2 + bx + c = 0. You can solve it using the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 4, b = 1, and c = -5. Plug these values into the quadratic formula:

x = (-1 ± √(1² - 4 * 4 * (-5))) / (2 * 4)

x = (-1 ± √(1 + 80)) / 8

x = (-1 ± √81) / 8

x = (-1 ± 9) / 8

Now, you have two possible solutions:

1. x = (-1 + 9) / 8 = 8 / 8 = 1
2. x = (-1 - 9) / 8 = -10 / 8 = -5/4

So, the solutions to the equation are x = 1 and x = -5/4.