Explanation Definition used: General quadratic equation : “Given that a , b , and c are constant ( a ≠ 0 ) , the equation a x 2 + b x + c = 0 is called the general quadratic equation in x ”. Calculation: Consider the equation ( x − 1 ) − x − 1 = 20 . In order to find the value of x , first rewrite the equation in quadratic form. Substitute y = x − 1 in ( x − 1 ) − x − 1 = 20 and simplify the equation as follows. y 2 − y − 20 = 0 y 2 − 5 y + 4 y − 20 = 0 y ( y − 5 ) + 4 ( y − 5 ) = 0 ( y − 5 ) ( y + 4 ) = 0 On further simplification, y − 5 = 0 or y + 4 = 0 y = 5 or y = − 4 x − 1 = 5 or x − 1 = − 4 [ ∵ y = x − 1 ] ( x − 1 ) 2 = 5 2 or ( x −

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780134434636

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

See similar textbooks

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Videos

Question

Chapter 14.3, Problem 17E

To determine

To solve: The equation (x−1)−x−1=20 algebraically.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.3, Problem 16E

Chapter 14.3, Problem 18E

Students have asked these similar questions

enter | Infinite Camp ilc 8.3 End-of-Unit Assessment, Op x Pride is the Devil - Google Drive x + 2 sdphiladelphia.ilclassroom.com/assignments/7FQ5923/lesson?card=806642 3 Problem 2 A successful music app tracked the number of song downloads each day for a month for 4 music artists, represented by lines l, j, m, and d over the course of a month. Which line represents an artist whose downloads remained constant over the month? Select the correct choice. = Sidebar Tools M 45 song downloads days d 1 2 3 4 5 6 7 8 00 8 m l RA 9 > КУ Fullscreen G Save & Exit De ☆

Q/Determine the set of points at which - f(z) = 622 2≥ - 4i/z12 i and differentiable analytice is:

sy = f(x) + + + + + + + + + X 3 4 5 7 8 9 The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem and the Mean Value Theorem for f on the closed interval [0, 9] ? (A A B B C D

Chapter 14 Solutions

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

Ch. 14.1 - In Example 7, determine how many times the rocket...Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The equation ( x − 1 ) − x − 1 = 20 algebraically.

Concept explainers

Videos

To solve: The equation (x−1)−x−1=20 algebraically.

Want to see the full answer?

Chapter 14 Solutions