Solve the equation 27 x 2 – 10 x + 1 = 0
The given equation is,
27 x 2 − 10 x + 1 = 0
Comparing the given equation with a x 2 + b x + c = 0 , we get
a = 27 b = − 10 c = 1
D = b 2 − 4 a c = ( − 10 ) 2 − 4 × 27 × 1 = − 8
The required solutions are,
x = − b ± D 2 a = − ( − 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 .
The given equation is,
Comparing the given equation with
The required solutions are,
Therefore, the solutions to the equation are
