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NAME DATE PER. SOLVING QUADRATIC EQUATIONS BY FACTORING Day 1 Solve. 1. (y 5)(y 7) 0 2. Y2 9 0 3. W2 2w 63 4. 2n2 40n 0 5. Y2 3y + 2 0 6. X2 9x 36 0 7. 0 x2 + 14x + 48 8. M2 36 16 m 9. R2 + 9 10r
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How to fill out solving quadratic equations by:

01
Identify the equation: Start by recognizing that the equation you are trying to solve is a quadratic equation. A quadratic equation is a second-degree polynomial equation in the form of ax^2 + bx + c = 0, where a, b, and c are constants.
02
Simplify the equation: Manipulate the equation to simplify it as much as possible. Combine like terms and rearrange the equation to get it into standard form, where the coefficient of the squared term is positive.
03
Factor or use the quadratic formula: Once the equation is in standard form, you can either factor it or use the quadratic formula to find the roots or solutions. If the equation can be factored, set each factor equal to zero and solve for x. If factoring is not possible, use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a).
04
Solve for x: After factoring or applying the quadratic formula, you will obtain values for x that satisfy the equation. These values are the solutions to the quadratic equation.

Who needs solving quadratic equations by:

01
Students studying mathematics: Quadratic equations are a fundamental topic in algebra and are commonly taught in math classes. Students need to learn how to solve quadratic equations to excel in their math courses and have a strong foundation for more advanced math topics.
02
Engineers and scientists: Quadratic equations appear frequently in various fields of engineering and science. Solving quadratic equations allows engineers and scientists to analyze and predict the behavior of physical systems, model data, and optimize solutions.
03
Financial analysts and economists: Quadratic equations are often utilized in finance and economics to analyze various scenarios, such as profit maximization, cost estimation, or determining optimal solutions. Professionals in these fields need to be able to solve quadratic equations to make informed decisions.
In summary, understanding how to fill out solving quadratic equations by involves identifying the equation, simplifying it, factoring or using the quadratic formula, and solving for x. This skill is necessary for students studying mathematics, engineers and scientists working with physical systems, as well as financial analysts and economists analyzing scenarios.
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