Type the correct answer in the box. Fill in the missing term in the equation. (1 + 2i)(2 + i) + = 5(2 + i)

Question

Type the correct answer in the box. Fill in the missing term in the equation. (1 + 2i)(2 + i) + = 5(2 + i)

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    0
    2021-11-26T23:49:10+00:00

    Well, the first step would be to multiply everything out.                       1*2=2, g1*i=i, g2i*2=4i, and 2i*i=2i^2. This would bring the equation to 2+i+4i+2i^2=5(2+i)

    Next, multiply the other side. 5*2=10, and 5*i=5i. The equation is now:

    2+i+4i+2i^2=10+5i

    Now, combine like terms, and arrange the sides from highest exponents to lowest exponents: i+4i=5i. You can arrange the equation to 2i^2+5i+2=5i+10.

    Subtract 2 from both sides: 2i^2+5i=5i+8

    Subtract 5i from both sides: 2i^2=8

    Divide both sides by 2: i^2=4.

    Finally, find the square root of 4 to get i. The square root of 4 is 2, so i=2.

    0
    2021-11-26T23:49:27+00:00

    Answer:

    The missing term would be 10

    Step-by-step explanation:

    Plato (5/5 on test)

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