Solve the equation over the complex numbers. <br> 5x^2-6x+5=0

obojeneqk

obojeneqk

Answered question

2022-09-12

Solve the equation over the complex numbers.
5 x 2 6 x + 5 = 0

Answer & Explanation

empatiji2v

empatiji2v

Beginner2022-09-13Added 18 answers

5 x 2 6 x + 5 = 0
We will use the method of completing the square to find the values of x.
5 x 2 6 x + 5 = 0 x 2 6 5 x + 1 = 0 x 2 2 × 3 5 + ( 3 5 ) 2 ( 3 5 ) 2 + 1 = 0 ( x 3 5 ) 2 9 25 + 1 = 0 ( x 3 5 ) 2 = 9 25 1 x 3 5 = ± 16 25 = ± 16 25 i 2 x 3 5 = ± 4 5 i
Therefore x = 3 5 + 4 5 i

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