Explanation Given information: The provided equation is 6 x 2 = 8 x + 5 . Formula used: If the equation is in the form of a x 2 + b x + c = 0 then its root is provide by the quadratic formula , x = − b ± b 2 − 4 a c 2 a Where, a is the coefficient of the x 2 term, b is the coefficient of the x term and c is the constant term. Calculation: Consider the equation, 6 x 2 = 8 x + 5 Rearrange the equation. 6 x 2 − 8 x − 5 = 0 The equation 6 x 2 − 8 x − 5 = 0 is in the form of a x 2 + b x + c = 0 . So, the values of a , b and c are, a = 6 b = − 8 c = − 5 Substitute a = 6 , b = − 8 and c = − 5 in the equation x = − b ± b 2 − 4 a c 2 a . x = − ( − 8 ) ± ( − 8 ) 2 − 4 ( 6 ) ( − 5 ) 2 ( 6 ) = 8 ± 64 + 120 12 = 8 ± 184 12 = 8 ± 13

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in re…

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.

Question

Chapter 11, Problem 10T

To determine

To calculate: The roots of the equation 6x2=8x+5 and round the result up to three significant digits, if required.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11, Problem 9T

Chapter 11, Problem 11T

Students have asked these similar questions

question 10 please

00 (a) Starting with the geometric series Σ X^, find the sum of the series n = 0 00 Σηχη - 1, |x| < 1. n = 1 (b) Find the sum of each of the following series. 00 Σnx", n = 1 |x| < 1 (ii) n = 1 sin (c) Find the sum of each of the following series. (i) 00 Σn(n-1)x^, |x| <1 n = 2 (ii) 00 n = 2 n² - n 4n (iii) M8 n = 1 շո

(a) Use differentiation to find a power series representation for 1 f(x) = (4 + x)²* f(x) = 00 Σ n = 0 What is the radius of convergence, R? R = (b) Use part (a) to find a power series for f(x) = 1 (4 + x)³° f(x) = 00 Σ n = 0 What is the radius of convergence, R? R = (c) Use part (b) to find a power series for f(x) = x² (4 + x)³* 00 f(x) = Σ n = 2 What is the radius of convergence, R? R = Need Help? Read It Watch It SUBMIT ANSWER

Chapter 11 Solutions

Elementary Technical Mathematics

Ch. 11.1 - Solve each equation: x2+x=12 Ch. 11.1 - Solve each equation: x23x+2=0 Ch. 11.1 - Solve each equation: x2+x20=0 Ch. 11.1 - Prob. 4E Ch. 11.1 - Solve each equation: x22=x Ch. 11.1 - Solve each equation: x215x=54 Ch. 11.1 - Solve each equation: x21=0 Ch. 11.1 - Solve each equation: 16n2=49 Ch. 11.1 - Solve each equation: x249=0 Ch. 11.1 - Prob. 10E

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 roots of the equation 6 x 2 = 8 x + 5 and round the result up to three significant digits, if required.

Solution Summary: The author calculates the roots of the equation 6x2=8x+5 and round the result up to three significant digits.

Concept explainers

To calculate: The roots of the equation 6x2=8x+5 and round the result up to three significant digits, if required.

Want to see the full answer?

Chapter 11 Solutions