6x2 + x = 12

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter43: Introduction To Equations
Section: Chapter Questions
Problem 8A: Express each ofthe word problems in Exercises 7 through 19 as equations. Let the unknown number...
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5. a) Two numbers when multiplied equals 54.

If the difference of the two numbers is 3 and x represents the smaller number

i) Represent the information given in equation form

ii) Express as a quadratic equation

iii) Solve the quadratic equation to find possible values for x

iv) If told that x is a positive numbers, what are the values of the two original numbers?

 

b) Solve the following quadratic equations ( hint use the quadratic formula)

6x2 + x = 12

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