Solve the equation 21 x 2 – 28 x + 10 = 0
The given equation is,
21 x 2 − 28 x + 10 = 0
Comparing the given equation with a x 2 + b x + c = 0 , we get
a = 21 b = − 28 c = 10
D = b 2 − 4 a c = ( − 28 ) 2 − 4 × 21 × 10 = − 56
The required solutions are,
x = − b ± D 2 a = − ( − 28 ) ± − 56 2 × 21 = 28 ± 56 i 42 = 28 42 ± 2 14 i 42 = 2 3 ± 14 21 i
Therefore, the solutions to the equation are 2 3 ± 14 21 i .
The given equation is,
Comparing the given equation with
The required solutions are,
Therefore, the solutions to the equation are
