Question

(a^2-4):(2a-4)=x:(a+2)

Answer 1

Решение во вложении:

Answer 2

To solve the proportion (a^2 - 4) : (2a - 4) = x : (a + 2), we can use cross multiplication. Cross multiplication allows us to find the value of 'x'. Here's how you do it:

Step 1: Write the given proportion. (a^2 - 4) / (2a - 4) = x / (a + 2)

Step 2: Cross multiply. (a^2 - 4) * (a + 2) = x * (2a - 4)

Step 3: Expand both sides. a^3 + 2a^2 - 4a - 8 = 2ax - 4x

Step 4: Move all the terms to one side to set the equation to zero. a^3 + 2a^2 - 4a - 2ax - 4x - 8 = 0

Step 5: Factor out 'a' from the first two terms and '-2x' from the last two terms. a(a^2 + 2a - 2x) - 2x - 8 = 0

Step 6: The equation should now be in the form 'Ax + B = 0'. In this case, A = a and B = -2x - 8.

Step 7: To solve for 'x', we need to find the value of 'a' that makes the equation equal to zero.

The equation is non-linear and doesn't have a simple, direct solution for 'a'. Depending on the value of 'a', 'x' will vary. Therefore, we can't give a single numerical value for 'x' in terms of 'a' without more information or specific values for 'a'.

If you have a specific value for 'a' or more context for the problem, I can help you find the corresponding value of 'x'. Otherwise, we can only represent 'x' in terms of 'a' as shown above.