r²-10r=17 by completing the square ​

Answer:Here's how to solve the equation r² - 10r = 17 by completing the square: 1. Move the constant term to the right side of the equation: r² - 10r = 17r² - 10r - 17 = 0 2. Take half of the coefficient of the 'r' term, square it, and add it to both sides of the equation: The coefficient of the 'r' term is -10.Half of -10 is -5.Squaring -5 gives us 25. r² - 10r + 25 = 17 + 25 3. Factor the left side of the equation as a perfect square trinomial: (r - 5)² = 42 4. Take the square root of both sides: √(r - 5)² = ±√42 5. Solve for 'r': r - 5 = ±√42r = 5 ±√42 Therefore, the solutions to the equation r² - 10r = 17 are: r = 5 + √42r = 5 - √42

Answered by Foend | 2024-09-06