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Chapter 11: Q. 9.12 (page 1069)

Solve2(b+2)2=80

Short Answer

Expert verified

The solutions areb=210-2,b=-210-2

Step by step solution

01

Step 1. Given information

Consider the quadratic equation

2(b+2)2=80

The objective is to solve the quadratic equation by using the square root property.

Ifx2=k, thenx=卤k

Divide both sides by the coefficient 2.

localid="1663771543619" (b+2)2=802=40

Use the square root property on the binomial.

b+2=卤40

02

Step 2. Simplify the radical expression. 

Simplify the radical and solve for b.

b=卤4路10-2b=卤210-2

Rewrite to show two solutions.

b=210-2,b=-210-2

03

Step 3. Check the solutions:   

Substitute b=210-2in the original equation.

role="math" localid="1645377113748" 2(b+2)2=802(210-2+2)2=?802(40)=?8080=80

Substitute b=-210-2in the original equation.

2(b+2)2=802(-210-2+2)2=?802(40)=?8080=80

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Most popular questions from this chapter

Use the Quotient Property to simplify square roots.

(a) 27p2q108p4q3

(b)16c5d7250c2d23

(c)2m9n7128m3n6

Simplify-

(a) 75a9

(b)128m113

(c)62n74

Of all the factoring methods covered in this chapter (GCF, grouping, undo FOIL, 'ac' method, special products) which is the easiest for you? Which is the hardest? Explain your answers.

Simplify::
(a)3612

(b)813

(c)1614

Solve(4p+3)(4p-3)=0
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