Can you please explain how to do this problem **Solve by completing the square, please show all the steps:**1) \( x^2 - 3x - 5 = 0 \)### Solution Steps:1. **Move the constant to the right side:** \[ x^2 - 3x = 5 \]2. **Find the value to complete the square:** - Take half of the coefficient of \( x \), which is \(-3\), giving \(-\frac{3}{2}\). - Square it: \(\left(-\frac{3}{2}\right)^2 = \frac{9}{4}\).3. **Add and subtract this square inside the equation:** \[ x^2 - 3x + \frac{9}{4} = 5 + \frac{9}{4} \] - The left side now becomes a perfect square trinomial.4. **Write the left side as a squared binomial:** \[ \left(x - \frac{3}{2}\right)^2 = \frac{29}{4} \]5. **Solve for \( x \) by taking the square root on both sides:** \[ x - \frac{3}{2} = \pm \sqrt{\frac{29}{4}} \] \[ x - \frac{3}{2} = \pm \frac{\sqrt{29}}{2} \]6. **Isolate \( x \):** \[ x = \frac{3}{2} \pm \frac{\sqrt{29}}{2} \]7. **Final solutions:** \[ x = \frac{3 + \sqrt{29}}{2} \quad \text{or} \quad x = \frac{3 - \sqrt{29}}{2} \]These steps illustrate how to solve the quadratic equation by completing the square method.

Name: Can you please explain how to do this problem **Solve by completing th
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: Can you please explain how to do this problem **Solve by completing the square, please show all the steps:**1) \( x^2 - 3x - 5 = 0 \)### Solution Steps:1. **Move the constant to the right side:** \[ x^2 - 3x = 5 \]2. **Find the value to complet