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Name___ Class___ Date___Lesson 55 (pp. 263269)Quadratic EquationsLesson Objectives 1 Solving quadratic equations by factoring and finding square roots 2 Solving quadratic equations by graphingNAEP
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How to fill out solving quadratic equations by

01
Start with a quadratic equation in the form of ax^2 + bx + c = 0.
02
Identify the values of a, b, and c from the given equation.
03
Use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a).
04
Substitute the values of a, b, and c into the quadratic formula.
05
Simplify the equation by performing the necessary calculations.
06
If the discriminant (b^2 - 4ac) is positive, there are two real solutions. If it is zero, there is one real solution. If it is negative, there are no real solutions.
07
Solve for the values of x using the simplified equation.
08
Check the solutions by substituting them back into the original equation to ensure they satisfy the equation.
09
The solutions for x represent the solutions to the quadratic equation.

Who needs solving quadratic equations by?

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Anyone studying or working in fields related to mathematics, physics, engineering, or any discipline that requires solving problems involving quadratic equations.
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Solving quadratic equations involves finding the values of the variable that make the equation true, typically expressed in the standard form ax^2 + bx + c = 0.
Individuals or entities that need to report their results from solving quadratic equations as part of their mathematical or financial computations may be required to file.
To fill out a solution for a quadratic equation, identify the coefficients a, b, and c, apply the quadratic formula x = (-b ± √(b²-4ac)) / (2a), and present the results clearly.
The purpose is to determine the roots of the equation, which can provide insights into various mathematical problems, physics applications, engineering designs, and financial modeling.
Required information includes the coefficients of the equation (a, b, c), the computed roots, the method used for solving, and any relevant steps taken in the calculation process.
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