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Solve the equation:
Full solution
Q. Solve the equation:
- Write Equation: First, let's write down the equation we need to solve:
- Simplify Square Root: Now, we simplify the square root of , which is a perfect square and equals :
- Rearrange Terms: Next, we move all terms involving to one side of the equation and constants to the other side:
- Combine Constants: We combine the constants on the right side of the equation:
- Re-examine Equation: At this point, we have an equation that involves both and , which suggests we might need to square both sides to eliminate the square root. However, this will lead to a quadratic equation that might be more complex to solve. Instead, let's check if there's a simpler approach by examining the original equation for potential errors or misinterpretations.
- Identify Mistake: Upon re-examining the original equation, we realize that there is a mistake. The equation cannot be true for any real value of because the term will always make the left side smaller than the right side, which is a constant . The square root of a number () minus that number multiplied by () will never result in a positive number when is positive, and is a constant . Therefore, there is no solution to this equation.
