x(x+5)=2give me tha correct steps and solution and answer
Answer (1)
Answer:Here are the steps to solve the equation x(x + 5) = 2: 1. Expand the equation:x² + 5x = 22. Move all terms to one side:x² + 5x - 2 = 03. Solve the quadratic equation: This equation doesn't factor easily, so we'll use the quadratic formula:x = [-b ± √(b² - 4ac)] / 2a Where:- a = 1 (coefficient of x²)- b = 5 (coefficient of x)- c = -2 (constant term)4. Substitute the values into the quadratic formula:x = [-5 ± √(5² - 4 * 1 * -2)] / (2 * 1)x = [-5 ± √(25 + 8)] / 2x = [-5 ± √33] / 25. Simplify the solutions:x = (-5 + √33) / 2x = (-5 - √33) / 2 Therefore, the solutions to the equation x(x + 5) = 2 are:- x = (-5 + √33) / 2- x = (-5 - √33) / 2The asterisk symbol * refers to multiplication.
