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Name Class Date Lesson 55 Quadratic Equations Lesson Objectives 1 Solving quadratic equations by factoring and finding square roots 2 Solving quadratic equations by graphing NEP 2005 Strand: Algebra
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How to fill out 1 solving quadratic equations:

01
Start by identifying the quadratic equation in the form ax^2 + bx + c = 0, where a, b, and c are coefficients.
02
Determine the values of a, b, and c in the given equation.
03
Use the quadratic formula, x = (-b ± √(b^2 - 4ac))/(2a), to solve for the values of x.
04
Substitute the values of a, b, and c into the quadratic formula and simplify the expression.
05
Solve for x by taking the square root of the discriminant, b^2 - 4ac, and dividing it by 2a.
06
Repeat the process for both the "+" and "-" signs in the formula to obtain two solutions.
07
The solutions represent the x-values where the quadratic equation intersects the x-axis.

Who needs 1 solving quadratic equations:

01
Students studying mathematics, particularly algebra and calculus, need to learn how to solve quadratic equations as it is a fundamental concept.
02
Engineers and scientists often encounter quadratic equations when analyzing physical phenomena or designing models.
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Architects and designers may use quadratic equations to solve problems related to construction or geometry.
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Financial analysts and economists may use quadratic equations to determine optimal solutions in areas such as investment and risk management.
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Anyone interested in problem-solving and critical thinking can benefit from learning how to solve quadratic equations.
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Solving quadratic equations involves finding the values of the unknown variables that satisfy the given quadratic equation.
Anyone studying mathematics or physics may be required to solve quadratic equations.
To fill out solving quadratic equations, one should apply mathematical methods such as factoring, completing the square, or using the quadratic formula.
The purpose of solving quadratic equations is to find the unknown values of variables that satisfy a specific quadratic equation.
The solutions or values of the unknown variables that satisfy the given quadratic equation must be reported.
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