1
Question
Solve the equation
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Solution
The given equation is,
x 2 − 2 x + 3 2 = 0
2 x 2 − 4 x + 3 = 0
Comparing the given equation with a x 2 + b x + c = 0 , we get
a = 2 b = − 4 c = 3
D = b 2 − 4 a c = ( − 4 ) 2 − 4 × 2 × 3 = − 8
The required solutions are,
x = − b ± D 2 a = − ( − 4 ) ± 2 2 i 4 = 2 ± 2 i 2 = 1 ± 2 2 i
Therefore, the solutions to the equation are 1 ± 2 2 i .
The given equation is,
Comparing the given equation with
The required solutions are,
Therefore, the solutions to the equation are
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