Explanation Given: The equation 4 2 x 2 + 3 x − 9 + 2 2 x 2 − x − 3 = 3 x 2 + 4 x + 3 . Explanation: Calculate the factors of 2 x 2 + 3 x − 9 . Use x = − b ± b 2 − 4 a c 2 a . Here, a = 2 , b = 3 , and c = − 9 . x = − ( 3 ) ± ( 3 ) 2 − ( 4 ) ( 2 ) ( − 9 ) 2 ( 2 ) = − 3 ± 9 + 72 4 = − 3 ± 81 4 = − 3 + 9 4 , − 3 − 9 4 = 6 4 , − 12 4 = 3 2 , − 3 Thus, we can write 2 x 2 + 3 x − 9 = ( x − 3 2 ) ( x − ( − 3 ) ) = ( 2 x − 3 ) ( x + 3 ) . Calculate the factors of 2 x 2 − x − 3 . Use x = − b ± b 2 − 4 a c 2 a . Here, a = 2 , b = − 1 , and c = − 3 . x = − ( − 1 ) ± ( − 1 ) 2 − ( 4 ) ( 2 ) ( − 3 ) 2 ( 2 ) = 1 ± 1 + 24 4 = 1 ± 25 4 = 1 + 5 4 , 1 − 5 4 = 6 4 , − 4 4 = 3 2 , − 1 Thus, we can write 2 x 2 − x − 3 = ( x − 3 2 ) ( x − ( − 1 ) ) = ( 2 x − 3 ) ( x + 1 )

11th Edition

ISBN: 9780321979438

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

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 R.4, Problem 37E

To determine

The solution for the equation 42x2+3x−9+22x2−x−3=3x2+4x+3.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter R.4, Problem 36E

Chapter R.5, Problem 1E

Students have asked these similar questions

Ra X 2) slots per pole per phase 3/31 180 Ko Sin (1) Kdl 1 sin (4) sin(3) Sin (30) اذا مرید شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 Fo lasa! G s.1000-950 20:05 1000 Capper losses: 5kw Rotor input lookw 0.05 ined sove in peaper I need a detailed solution on paper please 6) 1 ۳/۱ وه اذا ميريد شرح الكتب فقط look DC 7) rotov Find the general solution of the following equations: +4y=tan2x 3 7357 Find the general solution of the following equations: - Qll y + y (³) = 0. 101

NC Current Students - North Ce X | NC Canvas Login Links - North ( X Final Exam Comprehensive x Cengage Learning x WASTAT - Final Exam - STAT → C webassign.net/web/Student/Assignment-Responses/submit?dep=36055360&tags=autosave#question3659890_9 Part (b) Draw a scatter plot of the ordered pairs. N Life Expectancy Life Expectancy 80 70 600 50 40 30 20 10 Year of 1950 1970 1990 2010 Birth O Life Expectancy Part (c) 800 70 60 50 40 30 20 10 1950 1970 1990 W ALT 林 $ # 4 R J7 Year of 2010 Birth F6 4+ 80 70 60 50 40 30 20 10 Year of 1950 1970 1990 2010 Birth Life Expectancy Ox 800 70 60 50 40 30 20 10 Year of 1950 1970 1990 2010 Birth hp P.B. KA & 7 80 % 5 H A B F10 711 N M K 744 PRT SC ALT CTRL

B: 18060 msl Kd Ka, Sin (n) I sin () sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 x 50 G 5005 1000 s = 1000-950 Copper bosses 5kW /0001 Rotor input 5 : loo kw 0.05 6) 1 اذا ميريد شرح الكتب فقط ١٥٠ 7) rotov DC ined sove in Deaper I need a detailed solution on paper please dy x+2y-4 = dx 2x-y-3 Find the general solution of the following equations: 02//yl-4y+13y=esin

Chapter R Solutions

Finite Mathematics (11th Edition)

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 for the equation 4 2 x 2 + 3 x − 9 + 2 2 x 2 − x − 3 = 3 x 2 + 4 x + 3 .

Solution Summary: The author calculates the factors of 2x2+3x-9 using x=-bpm sqrtb

Concept explainers

Videos

The solution for the equation 42x2+3x−9+22x2−x−3=3x2+4x+3.

Want to see the full answer?

Chapter R Solutions