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Chapter 7: Q. 356 (page 894)

4b2-60b+224=0

Short Answer

Expert verified

b=7,b=8

Step by step solution

01

Step 1. Given information

4b2-60b+224=0

02

Step 2. Finding common factor

4b2-60b+224=04(b2-15b+56)=0

03

Step 3. Divide both sides by same factor

4(b2-15b+56)=04(b2-15b+56)4=04b2-15b+56=0

04

Step 4. Factorization

b2-15b+56=0b2-8b-7b+56=0b(b-8)-7(b-8)=0(b-8)(b-7)=0

05

Step 5. Finding values

(b-8)(b-7)=0

So,

b-8=0b=8

Also,

b-7=0b=7

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