if a solution 2(2x-1)=5x^2 is expressed in simplest form a + bi form the value of b is​

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if a solution 2(2x-1)=5x^2 is expressed in simplest form a + bi form the value of b is​

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Nho 4 years 2021-08-14T18:09:59+00:00 1 Answers 244 views 0

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  1. haidang
    0
    2021-08-14T18:11:24+00:00
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    Answer:

    b = 0.4899

    Step-by-step explanation:

    Given;

    2(2x-1)=5x²

    4x – 2 = 5x²

    5x² – 4x + 2 = 0

    this is a quadratic equation with;

    a = 5, b = -4 and c = 2

    x = \frac{-b \ \ + /-\ \ \sqrt{b^2 - \ 4ac} }{2a} \\\\x = \frac{-(-4) \ \ + /-\ \ \sqrt{(-4)^2 - \ 4(5*2)} }{2(5)} \\\\x = \frac{4 \ \ + /-\ \ \sqrt{16 - \ 40} }{10} \\\\x = \frac{4 \ \ + /-\ \ \sqrt{-24} }{10}\\\\x = \frac{4 \ \ +/-\ \ (\sqrt{24)} (\sqrt{-1} ) }{10} \\\\x = \frac{4 \ \ +/-\ \ (\sqrt{24)} (i )}{10}\\\\ x = \frac{4 \ \ +/-\ \ (4.899) (i )}{10}\\\\ x = \frac{4 \ \ +\ \ (4.899) (i )}{10} \ \ or \ \ x = \frac{4 \ \ -\ \ (4.899) (i )}{10}\\\\

    in terms of a + bi, it will be simplified as;

    x = \frac{4}{10} + \frac{(4.899) (i)}{10} \\\\x = 0.4 + 0.4899i

    Therefore, b = 0.4899

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )