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Chapter 5: Q. 1 (page 315)

Solvex2−7x−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 x2−7x−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

Thegivenequationisx2−7x−30=0.⇒x2−7x−30=0⇒x2+3x−10x−30=0Splitthemiddleterm⇒xx+3−10x+3=0Takeoutthecommonterms⇒x−10x+3=0Formthefactors

03

Step 3. Solve for x

Byzeroproductrule,⇒x−10=0⇒x=10and,⇒x+3=0⇒x=−3Thesolutionsetis−3,10

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Most popular questions from this chapter

The graph of an exponential function is given. Match each graph to one of the following functions.

Ideal Body Weight One model for the ideal body weight W for men (in kilograms) as a function of height h (in inches) is given by the function

W(h)=50+2.3h-60

(a) What is the ideal weight of a 6-foot male?

(b) Express the height has a function of weight W.

(c) Verify that h=Whis the inverse of W=Whby showing that role="math" localid="1646158219737" h(W(h))=h and W(h(W))=W.

(d) What is the height of a male who is at his ideal weight of 80 kilograms?

[Note: The ideal body weight W for women (in kilograms) as a function of height h (in inches) is given byrole="math" localid="1646159253780" Wh=45.5+2.3(h-60).

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fx=1-2-x/3

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