Answer:
A quadratic equation is a unique math problem that revolves around determining the values of a variable, usually symbolized by 'x.' By employing a specific formula, we can unearth these values, particularly when the numbers in question are already known. This formula primarily aids us in discovering real number solutions, although occasionally, there might be instances where no real solutions exist.. These particular equations hold great significance in the realms of mathematics, science, and the art of critical thinking..
Step-by-step explanation:
A quadratic equation is a second-order polynomial equation in a single variable x with a non-zero coefficient for x². It has the general form ax² + bx + c = 0, where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0.
To solve a quadratic equation, you can follow these steps..
1. Identify the coefficients a, b, and c.
2. Calculate the discriminant D = b² - 4ac.
3. Determine the type of roots based on the discriminant: two distinct real roots if D > 0, one real root if D = 0, or no real roots if D < 0.
4. Use the quadratic formula x = (-b ± √D (2a) to find the values of x.
5. Substitute the values of x back into the original equation to check if they satisfy the equation..
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