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Solving Quadratic Equations Keeping It Quadratic SUGGESTED LEARNING STRATEGIES: Guess and Check, Group Presentation, Quick write ACTIVITY 5.4 My Notes 1. Solve each equation. Be prepared to discuss

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To effectively solve quadratic equations while maintaining accuracy and precision, follow these steps:

01

Identify the quadratic equation: Begin by recognizing the given equation as a quadratic equation, which can be written in the form "ax^2 + bx + c = 0."

02

Express the equation in standard form: Rearrange the equation so that it is in standard form, where the term with the highest power of x is positive and all other terms are on the right side. This can be achieved by moving all terms to one side.

03

Determine the values of a, b, and c: By comparing the standard form equation to the general quadratic equation form, identify the coefficients a, b, and c. These coefficients will help you solve the equation.

04

Use the quadratic formula: Apply the quadratic formula, which states that the solutions to the quadratic equation ax^2 + bx + c = 0 can be found using the following formula: x = (-b ± √(b^2 - 4ac)) / (2a). Substitute the values of a, b, and c obtained in the previous step into this formula.

05

Simplify the equation: Simplify the equation using basic arithmetic operations such as addition, subtraction, division, and multiplication.

06

Determine the roots: Calculate the value of x by solving the simplified equation. This will give you the roots of the quadratic equation.

In summary, solving quadratic equations while keeping accuracy and precision requires identifying the equation, expressing it in standard form, determining the coefficient values, applying the quadratic formula, simplifying the equation, and finally calculating the roots. This skill is valuable for anyone studying mathematics, physics, engineering, or any other field that involves solving quadratic equations.

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