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To solve a quadratic equation, you can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
A, b, and c are coefficients of the equation in the form of ax² + bx + c = 0. The quadratic formula provides two possible solutions for x, denoted by the ± symbol.
Now, let's take an example of a quadratic equation and solve it using the quadratic formula. Consider the equation:
2x² - 5x + 2 = 0
Here, a = 2, b = -5, and c = 2. Plugging these values into the quadratic formula gives:
x = (-(-5) ± √((-5)² - 4*2*2)) / 2*2
x = (5 ± √(25 - 16)) / 4
x = (5 ± √9) / 4
x = (5 ± 3) / 4
Therefore, the two possible solutions for x are:
x₁ = (5 + 3) / 4 = 8 / 4 = 2
x₂ = (5 - 3) / 4 = 2 / 4 = 0.5
To visualize this solution, we can plot the graph of the quadratic equation y = 2x² - 5x + 2. The graph will intersect the x-axis at x = 0.5 and x = 2, representing the two solutions we found using the quadratic formula.
Therefore, by using the quadratic formula and visual aids such as graphs, you can effectively solve quadratic equations and understand their solutions better.
Biology is the scientific study of living organisms and their interactions with one another and their environment. It encompasses the study of the structure, function, growth, evolution, and distribution of organisms, as well as how they respond to changes in their environment. Biology is a broad field that includes many sub-disciplines, such as genetics, ecology, physiology, and microbiology.
1. Cook the noodles: Boil water in a pot and cook the rice noodles according to package instructions. Once cooked, drain and set aside.
2. Make the sauce: In a separate pot, heat some oil over medium heat. Add minced garlic and cook until fragrant. Add the shrimp paste and annatto powder, then stir until well combined.
3. Add the broth: Slowly pour in the shrimp broth or chicken broth while stirring constantly. Let it simmer for a few minutes until the sauce thickens.
4. Add the toppings: Add the cooked shrimp, ground pork, and tofu to the sauce. Stir well to combine.
5. Assemble: Place the cooked rice noodles on a serving platter. Pour the sauce mixture over the noodles and top with crushed chicharon, sliced boiled eggs, chopped scallions, and calamansi or lemon wedges.
6. Serve hot: Pansit palabok is best served hot and enjoyed immediately.
7. Optional garnish: You can also add some chopped parsley, sliced red onions, and more crushed chicharon on top for additional flavor and texture. Enjoy your delicious homemade pansit palabok!