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In Math / Junior High School | 2024-09-02

what is the complete squareb²-2b-15=0

Asked by LykaCRosario

Answer (1)

Answer:Here's how to complete the square for the equation b² - 2b - 15 = 0: 1. Move the constant term to the right side: b² - 2b = 15 2. Take half of the coefficient of the 'b' term, square it, and add it to both sides: - The coefficient of the 'b' term is -2.- Half of -2 is -1.- (-1)² = 1- Add 1 to both sides:b² - 2b + 1 = 15 + 1 3. Factor the left side as a perfect square trinomial: (b - 1)² = 16 4. Take the square root of both sides: √(b - 1)² = ±√16 5. Solve for 'b': b - 1 = ±4 b = 1 ± 4 6. The solutions: - b = 1 + 4 = 5- b = 1 - 4 = -3 Therefore, the solutions to the equation b² - 2b - 15 = 0 are b = 5 and b = -3.Step-by-step explanation:here thank you!

Answered by janne9818 | 2024-09-02