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Chapter 11: Q. 9.33 TI (page 1069)

Solve by completing the square :

(c-2)(c+8)=11

Short Answer

Expert verified

The required value ofcis-9,3

Step by step solution

01

Given information

(c-2)(c+8)=11

02

Calculation

(c-2)(c+8)=11鈬�c(c+8)-2(c+8)=11鈬�c2+8c-2c-16=11鈬�c2+6c=11+16鈬�c2+6c=27鈬�c2+6c+(12脳6)2=27+9鈬�c2+6c+9=27+9鈬�(c+3)2=36鈬�c+3=卤36鈬�c+3=卤6鈬�c=-3卤6=-3-6,-3+6=-9,3

The required value ofcis-9,3

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Most popular questions from this chapter

Simplify:

(a)(-256)14

(b)-25614

(c) (256)-14

In the following exercises, solve each rational inequality and write the solution in interval notation.

4(x-2)鈮�3(x+1)

Factoru2-9u+18

Simplify-

(a) 75a9

(b)128m113

(c)62n74

Simplify::
(a)3612

(b)813

(c)1614
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