Explanation Given Information: The given equation is 2 x 2 − x − 8 = 0 . Formula used: The quadratic equation in the form a x 2 + b x + c = 0 , the roots of the equation can be calculated by quadratic formula: x = − b ± b 2 − 4 a c 2 a , where the coefficient of x 2 is a , the coefficient of the term x is b, and the constant term is c . The equation x = − b ± b 2 − 4 a c 2 a can be factored as x = − b + b 2 − 4 a c 2 a , x = − b − b 2 − 4 a c 2 a . Calculation: Consider the give equation, In order to solve the equations using the quadratic formula, Now, find the values of a, b and c , Consider the coefficients of x 2 and x and the constant term, The coefficient of x 2 is 2 , hence the value of a is 2 . The coefficient of x is − 1 , hence the value of b is − 1 . The constant term is − 8 , hence the value of c is − 8 . So, the values are a = 2 , b = − 1 , c = − 8 Now, substitute the values of a, b and c in the quadratic formula, x = − b ± b 2 − 4 a c 2 a = − ( − 1 ) ± ( −

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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, Problem 16CR

To determine

To calculate: The solution of the equation 2x2−x−8=0.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14, Problem 15CR

Chapter 14, Problem 17CR

Students have asked these similar questions

what is the horizonal asymptote of question d?

2 3 Polar axis The graph of the polar function r = = f(0) is given in the polar coordinate system. Which of the following defines f(0) for 0 ≤ 0 ≤ 2πT? A 3+ cos(30) B 3 cos(30) C 3+ sin(30) D 3 sin (30)

Solve by superposition method the following DE: y^(4) - y = xe^(x) sen(2x), conditions: y(0) = y'(0) = y''(0) = y'''(0) =0

Chapter 14 Solutions

Elementary Technical Mathematics

Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 5E Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 9E Ch. 14.1 - Find each value rounded to four significant...

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 solution of the equation 2 x 2 − x − 8 = 0 .

Solution Summary: The author calculates the solution of the equation 2x2-x-8=0 using the quadratic formula.

Concept explainers

Videos

To calculate: The solution of the equation 2x2−x−8=0.

Want to see the full answer?

Chapter 14 Solutions