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Chapter 6: Q. 6.89 (page 617)

Solve,3c2=10c-8

Short Answer

Expert verified

The value isc=43,2

Step by step solution

01

Given information

Given the equation3c2=10c-8

02

Writing in standard form

Writing in standard form, we get

3c2=10c-83c2-10c+8=03c2-6c-4c+8=03c(c-2)-4(c-2)=0(3c-4)(c-2)=0c=43,2

03

Checking the value

Substituting the value and checking, we get

3c2=10c-83(43)2=10(43)-8163=163

This is true

04

Checking another value

Checking the value, we get

3c2=10c-83(2)2=10(2)-812=20-812=12

This is true

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