I keep getting different answers to this 1 question..hoping some1 can help me! 1/4 = 3 - 2x-1/x+2... i get 3 different answers to this 1 question. please help!!
To solve the equation (1/4) = (3 - 2x) / (x + 2), you need to isolate the variable x. Here's how you can do it step by step:
Step 1: Clear the fraction by multiplying both sides of the equation by the LCD (Least Common Denominator), which is 4(x + 2). This will eliminate the denominators:
4(x + 2) * (1/4) = 4(x + 2) * (3 - 2x) / (x + 2)
(x + 2) = 4(3 - 2x)
Simplifying the equation gives you:
(x + 2) = 12 - 8x
Step 2: Expand the parentheses on both sides of the equation:
x + 2 = 12 - 8x
Step 3: Combine like terms by adding 8x to both sides:
9x + 2 = 12
Step 4: Isolate x by subtracting 2 from both sides:
9x = 12 - 2
9x = 10
Step 5: Divide both sides by 9:
x = 10 / 9
So the solution to the equation (1/4) = (3 - 2x) / (x + 2) is x = 10 / 9, or approximately 1.11 (rounded to two decimal places).
If you are getting different answers, it might be due to an error during the calculation or missing steps. Double-check your work and make sure you follow these steps accurately.