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Chapter 5: Q. 1 (page 315)

Solvex2鈭�7x鈭�30=0.

Short Answer

Expert verified

The solution of the given equation is and x=-3andx=10.

Step by step solution

01

Step 1. Given information

The given equation is x2鈭�7x鈭�30=0

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

02

Step 2. Form the factors

Thegivenequationisx2鈭�7x鈭�30=0.鈬�x2鈭�7x鈭�30=0鈬�x2+3x鈭�10x鈭�30=0Splitthemiddleterm鈬�xx+3鈭�10x+3=0Takeoutthecommonterms鈬�x鈭�10x+3=0Formthefactors

03

Step 3. Solve for x

Byzeroproductrule,鈬�x鈭�10=0鈬�x=10and,鈬�x+3=0鈬�x=鈭�3Thesolutionsetis鈭�3,10

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Most popular questions from this chapter

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

For an exponential function, f(x)=Cax,f(x+1)f(x)=

Use the graph of y=f(x)given in Problem 44to evaluate

the following:

(a)f(2)

(b) f(1)

(c) f-1(0)

(d) f-1(-1)

In Problems 33-40, the graph of an exponential function is given. Match each graph to one of the following functions.

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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