### Solving Quadratic Equations by Completing the SquareThe problem to solve using the method of completing the square is:\[ x^2 - 10x - 4 = 0 \]#### Steps to Solve:1. **Move the constant term to the other side:** Start with the equation: \[ x^2 - 10x = 4 \]2. **Complete the square:** Take half of the coefficient of \(x\), square it, and add it to both sides. The coefficient of \(x\) is \(-10\). Half of that is \(-5\), and squaring it gives \(25\). Add and subtract \(25\) inside the equation: \[ x^2 - 10x + 25 = 4 + 25 \] This simplifies to: \[ (x - 5)^2 = 29 \]3. **Solve for \(x\):** Take the square root of both sides: \[ x - 5 = \pm \sqrt{29} \] Solve for \(x\): \[ x = 5 \pm \sqrt{29} \]Therefore, the solutions are:\[ x = 5 + \sqrt{29} \quad \text{and} \quad x = 5 - \sqrt{29} \]By following these steps, you can solve the quadratic equation by completing the square.

Name: ### Solving Quadratic Equations by Completing the SquareThe problem t
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: ### Solving Quadratic Equations by Completing the SquareThe problem to solve using the method of completing the square is:\[ x^2 - 10x - 4 = 0 \]#### Steps to Solve:1. **Move the constant term to the other side:** Start with the equation: \[ x^2