Explanation Procedure used: “Procedure for Solving a Quadratic Equation by Completing the square: 1. Divide the each side by a ( the coefficient of x 2 ). 2. Rewrite the equation with the constant on the right side. 3. Complete the square: Add the square of one-half of the coefficient of x to both sides. 4. Write the left side as a square and simplify the right side. 5. Equate the square root of the left side to the positive and negative square root of the right side. 6. Solve the two resulting linear equations. Theorem used: Pythagorean Theorem: For any right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Property used: Square root property If x 2 = k , then x = ± k .” Calculation: It is given that, “The horizontal distance between the woman’s face and the cell phone is exactly 6 in. more than the vertical distance and the selfie stick is exactly 30 in. from her face.” Let x be the vertical distance between the cell phone and the woman’s face, C be the position of the camera and F be the position of the face. The current situation can be represented as follows. From Figure 1 it is observed that, the value of x can be obtained by using the Pythagorean theorem as ( F C ) 2 = ( F A ) 2 + ( A C ) 2 . ( 30 ) 2 = ( x + 6 ) 2 + ( x ) 2 900 = x 2 + 12 x + 36 + x 2 2 x 2 + 12 x + 36 − 900 = 0 2 x 2 + 12 x − 864 = 0 The obtained equation 2 x 2 + 12 x − 864 = 0 is a quadratic equation. Use the method of completing square to solve for x . The quadratic equation 2 x 2 + 12 x − 864 = 0 can be simplified as follows

11th Edition

ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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Chapter 7.2, Problem 35E

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The vertical distance between the cell phone and the woman’s face.

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Chapter 7.2, Problem 34E

Chapter 7.2, Problem 36E

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Chapter 7 Solutions

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Ch. 7.1 - Solve for x: x2 + 4x − 21 = 0 Ch. 7.1 - Prob. 2PE Ch. 7.1 - Prob. 1E Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E

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