Look at the quadratic equation below.
Mathematics, 12.06.2020 17:57, dondre54
Directions and Analysis
Task 1: Completing the Square
Look at the quadratic equation below.
2x^2-12x-16=0
This is not an equation that could be easily solved by factoring. Instead, you are going to use the method of completing the square to solve this equation. Follow each step in this task to complete the square and solve the equation.
a. To complete the square, the coefficient of the x2 term must be 1. Divide both sides of the equation by a value and rewrite the equation to meet this criteria.
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b. Rewrite the resulting equation so the constant term is on the right side of the equation and the variable terms are on the left.
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c. Identify the coefficient of the x term in the previous equation. Then divide it by half and square the result. What is the result?
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d. Add the value you identified in part c to both sides of the equation from part b and simplify the right side. Remember that when solving equations, whatever is done to one side of the equation must also be done to the other side the equation: that is why you must add the value to both sides.
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e. Notice that the left side of the equation now represents a perfect square quadratic expression. Use this fact to rewrite the left side of the previous equation as the square of a linear term and create a new equation.
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f. You have now completed the square. Starting with the result from part e, solve the equation for x. Show your work.
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g. Now that you know how to complete the square to solve a quadratic equation, solve the equation 3x^2 – 3x − 6 = 0. Show your work.
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Answers: 1
Mathematics, 21.06.2019 23:30, aherrerasmile1
Scenario: a rectangular plot of ground is 5 meters longer than it is wide. its area is 20,000 square meters. question: what equation will you find the dimensions? note: let w represent the width. options: w(w+5)=20,000 w^2=20,000+5 (w(w+5))/2=20,000 w+2(w+5)=20,000
Answers: 1
Mathematics, 22.06.2019 03:00, haltomnatnathan3548
Which of these phrases uses parallelism to create a sad tone?
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Mathematics, 22.06.2019 03:30, baler19
Jack has a rectangular piece of land, the area of which is represented by a1 = 9.5l. his brother has a different rectangular piece of land, the area of which is represented by a2 = l(14 − l). let a represent the area in square meters and l represent the length in meters of the pieces of land. the two equations plotted on a graph meet at a point as shown in the image
Answers: 1
Directions and Analysis
Task 1: Completing the Square
Look at the quadratic equation below.
Look at the quadratic equation below.
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