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Chapter 5: Q. 2 (page 315)

Solve(x+3)2-4(x+3)+3=0.

Short Answer

Expert verified

The solution of the equation is{-2,0}.

Step by step solution

01

Step 1. Given information

Thegivenequationisx+32鈭�4(x+3)+3=0.

We have to find the solution of the equation i.e the value of that satisfies the given equation.

02

Step 2. Form the factors

鈬�x+32鈭�4x+3+3=0鈬�x2+32+6x鈭�4x鈭�12+3=0Expandtheterm鈬�x2+9+2x鈭�9=0Combinetheliketerms鈬�x2+2x=0鈬�xx+2=0Formthefactors

03

Step 3. Solve for x

Byzeroproductrule,鈬�x=0and,鈬�x+2=0鈬�x=鈭�2Thesolutionsetis鈭�2,0

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Most popular questions from this chapter

solve each equation. Verify your results using a graphing utility.

4x2=2x

In Problems 61鈥�72, the function f is one-to-one. Find its inverse and check your answer.

f(x)=2x3x-1

The domain of one-to-one function g is0,15, and range is (0,8). State the domain and range oflocalid="1646180141229" g-1

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

True or False

To graph (x-2)3, shift the graph of y=x3to the left 2 units.

the function f is one-to-one. Find its inverse and check your answer.

f(x)=-3x-4x-2
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