This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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Welcome back Jully — missed you this week.
Here's how to solve the quadratic equation x² + 5x + 6 = 0.
Step 1: Identify the coefficients a, b, and c from the standard quadratic form ax² + bx + c = 0. In this equation, a = 1, b = 5, and c = 6.
Step 2: Use the quadratic formula: x = [-b ± √(b² - 4ac)] / (2a). Substitute the values of a, b, and c into the formula: x = [-5 ± √(5² - 4 × 1 × 6)] / (2 × 1)
Step 3: Simplify the expression under the square root (the discriminant). x = [-5 ± √(25 - 24)] / 2 x = [-5 ± √1] / 2
Step 4: Calculate the two possible values for x. x₁ = (-5 + 1) / 2 = -4 / 2 = -2 x₂ = (-5 - 1) / 2 = -6 / 2 = -3
The solutions are x = -2 and x = -3.
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Welcome back Jully — missed you this week. Here's how to solve the quadratic equation x² + 5x + 6 = 0.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.