solve the Quadratic equation factoring method1.x²-4x-5=​

Here's how to solve the problem:Step 1: Find factors of the constant term that add up to the coefficient of the x term.The constant term is -5, and the coefficient of the x term is -4. We are looking for two numbers that multiply to -5 and add up to -4.  Those numbers are -5 and 1.Step 2: Rewrite the equation using these factors.We can rewrite the equation as:(x - 5)(x + 1) = 0Step 3: Solve for xThis equation is true if either (x - 5) = 0 or (x + 1) = 0.If x - 5 = 0, then x = 5If x + 1 = 0, then x = -1Final answer:Therefore, the solutions to the quadratic equation x² - 4x - 5 = 0 are x = 5 and x = -1.

Answered by PrincessUmbriel | 2025-07-23