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Chapter 10: Q 82 (page 1155)

Solve the equation by completing square method.

b2+6b=41

Short Answer

Expert verified

The solutions areb=-3+52,b=-3-52

Step by step solution

01

Given Information    

The Given equation isb2+6b=41.

02

Isolate the variable terms on one side and the constant terms on the other. 

The variable terms are on the left side.

b2+6b=41

Here, b=6.

03

Find 12b2.

=12(6)2=32=9

Add 9to both sides of equation.

b2+6b+9=41+9b2+6b+9=50

04

Factor the perfect square trinomial as a binomial square.    

(b+3)2=50

Use the square root property.

b+3=卤50b+3=卤2脳5脳5b+3=卤52

05

Solve for b.

b=-3卤52

Rewrite to show two solutions.

b=-3+52,b=-3-52

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