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Question

Solve the equation 27 x 2 – 10 x + 1 = 0

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Solution

The given equation is,

27 x 2 10x+1=0

Comparing the given equation with a x 2 +bx+c=0 , we get

a=27 b=10 c=1

D= b 2 4ac = ( 10 ) 2 4×27×1 =8

The required solutions are,

x= b± D 2a = ( 10 )± 8 2×27 = 10±2 2 i 54 = 5 27 ± 2 27 i

Therefore, the solutions to the equation are 5 27 ± 2 27 i .


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