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Bond [772]
2 years ago
6

For which values of the variables the following equality is true?

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
6 0

Answer:

For The value of a = 0 and c = 0 , The given expression equality is true  

Step-by-step explanation:

Given expression as :

\frac{3a^{2}+ac+2c-6a}{3a - c} = a - 2

Or, 3 a² + ac + 2 c - 6 a = ( a - 2 ) × ( 3 a - c )

Or, 3 a² + ac + 2 c - 6 a =  3 a² - ac - 6 a + 2 c

Or, (  3 a² + ac + 2 c - 6 a ) - ( 3 a² - ac - 6 a + 2 c ) =0

Or, ( 3 a² - 3 a² ) + ( ac + ac ) + ( 2 c - 2 c ) + ( - 6 a + 6 a ) = 0

or,  0 + 2 ac + 0

Or, 2 ac = 0

∴  a =0  and c = 0

Hence For The value of a = 0 and c = 0 , The given expression equality is true  .  Answer

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