PQ-FORMEL anwenden – NULLSTELLEN berechnen, Lösungsformel, QUADRATISCHE Gleichungen lösen
MathemaTrick・9 minutes read
The pq formula, also known as the pico formula, is essential for solving equations with a square term and various numbers in different positions. The formula involves assigning the number next to the square term to 'p' and the standalone number to 'q' to solve the equation.
Insights
- The pq formula, also known as the pico formula, is used to solve equations with a square term by assigning the number next to the square term to 'p' and the standalone number to 'q'.
- When applying the pq formula, three possible outcomes can occur: two solutions, one solution, or no solution, depending on the equation's structure and the values of 'p' and 'q'.
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Recent questions
What is the pq formula?
The pq formula, also known as the pico formula, is used to solve equations with a square term and various numbers in different positions.
How do you apply the pq formula?
To apply the pq formula, assign the number next to the square term as 'p' and the standalone number as 'q' to solve the equation, considering three possible outcomes: two solutions, one solution, or no solution.
What happens in the first case with two solutions?
In the first case with two solutions, substitute the values of 'p' and 'q' into the pq formula to find the two solutions of the equation.
How is the pq formula used in the second case?
In the second case with a single solution, utilize the pq formula similarly to determine the unique solution of the equation.
When does the third case with no solution occur?
The third case, with no solution, arises when a negative value appears under the square root in the pq formula, indicating that there is no solution to the equation.
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Summary
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"PQ Formula: Solving Equations with Precision"
- The pq formula, also known as the pico formula, is essential for solving equations with a square term and various numbers in different positions.
- The formula involves assigning the number next to the square term to 'p' and the standalone number to 'q' to solve the equation.
- Three distinct cases can arise when using the pq formula: two solutions, one solution, or no solution, depending on the equation's structure.
- In the first case with two solutions, the formula is applied by substituting the values of 'p' and 'q' to find the solutions.
- The second case involves a single solution, where the pq formula is utilized similarly to determine the unique solution.
- The third case, with no solution, occurs when a negative value arises under the square root, indicating the absence of a solution.
