
5x^2+10x больше или равно 0. Через метод с параболами


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Solving Quadratic Inequality Using the Method of Parabolas
To solve the quadratic inequality 5x^2 + 10x + b ≥ 0 using the method of parabolas, we can follow these steps:
1. Find the Discriminant (D) - The discriminant (D) of a quadratic equation in the form ax^2 + bx + c is given by the formula: D = b^2 - 4ac.
2. Determine the Nature of the Parabola - If the discriminant (D) is greater than 0, the parabola opens upwards and has two distinct real roots. - If the discriminant (D) is equal to 0, the parabola touches the x-axis at one point. - If the discriminant (D) is less than 0, the parabola does not intersect the x-axis.
3. Identify the Solutions - Based on the nature of the parabola, we can determine the range of values for which the inequality holds true.
4. Substitute the Coefficients - In this case, the coefficients are: a = 5, b = 10, and c = b.
5. Apply the Method of Parabolas - By analyzing the nature of the parabola, we can determine the range of values for which the given inequality holds true.
Cited Search Results
- The search results did not provide specific information on solving the quadratic inequality using the method of parabolas. Therefore, the steps provided above are based on the standard method for solving quadratic inequalities.Let me know if you need further assistance with this topic!


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