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Name: Date: Foundations of Mathematics 11 Chapter 7 Quadratic Functions 7.7 Solving Quadratic Equation Using the Quadratic Formula Goal: Use the quadratic formula to determine the roots of a quadratic
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How to solve a quadratic equation using the following steps:

01
Start by identifying the form of the quadratic equation, which is usually in the form of ax^2 + bx + c = 0, where a, b, and c are coefficients.
02
If the quadratic equation is not in standard form, rearrange the terms so that the equation is in the form mentioned in step 1.
03
Once the equation is in standard form, determine the values of a, b, and c.
04
Use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a), to find the solutions to the equation. The ± indicates that there are usually two possible solutions.
05
Substitute the values of a, b, and c into the quadratic formula and simplify the equation.
06
Calculate the square root of the discriminant, which is the expression inside the square root in the quadratic formula: b^2 - 4ac.
07
Evaluate the two solutions using the quadratic formula, considering both the positive and negative square root values of the discriminant.
08
These solutions represent the x-values where the quadratic equation intersects the x-axis.

Who needs to know how to solve a quadratic equation using?

01
Students studying algebra or mathematics at various levels, such as high school or college, need to understand how to solve quadratic equations as it is a fundamental concept in algebra.
02
Engineers and scientists often encounter quadratic equations when dealing with real-life problems and need to be able to solve them to make accurate calculations and predictions.
03
Architects and designers may utilize quadratic equations in their designs and calculations, making it necessary for them to know how to solve them.
04
Any individual interested in mathematics or problem-solving can benefit from learning how to solve quadratic equations, as it expands their mathematical knowledge and problem-solving skills.
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Solving a quadratic equation involves finding the values of the variable that satisfy the equation when it is set to equal to zero.
Students studying mathematics or anyone needing to find the solutions to a quadratic equation.
One can use various methods like factoring, completing the square, or using the quadratic formula.
The purpose is to find the values of the variable that make the equation true, representing the points where the equation intersects the x-axis.
The coefficients of the quadratic equation, method used for solving, and the solutions obtained.
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