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In Mathematics / Middle School | 2014-08-12

Solve for x.

\(\frac{1}{2}x + \frac{1}{2}x = x + 1\)

Can someone show me how to solve this equation?

Asked by cmhowells

Answer (3)

The answer is in the attachment below. Open it up in a new window to see it in full.
The secret to solving this problem lies in completing the square.

Answered by Anonymous | 2024-06-10

It is going to end up as x = x + 1, which is not possible even if x = 0. so solution does not exist.

Answered by littlestar | 2024-06-10

When solving the equation 2 1 ​ x + 2 1 ​ x = x + 1 , we simplify and find that it leads to a contradiction ( 0 = 1 ). Therefore, there is no solution for x .
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Answered by Anonymous | 2024-12-24