solving equations with imaginary numbers - Search
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    To solve equations with imaginary numbers, you can follow these steps:
    1. Use the imaginary unit "i" to find solutions to equations that do not have real number solutions.
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    2. Example: To solve x^2 + 1 = 0, subtract 1 from both sides, then take the square root of both sides: x = ±√(-1), which simplifies to x = ±i.
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    3. Complex numbers enable us to solve equations involving square roots of negative numbers.
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    4. Example: To solve x^2 = -11, use the imaginary unit to get x = 11√(-1) = 11i.
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    5. Complex exponentiation: You can raise e^(iπ/2) to the power of i.
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    6. 4 Sources
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    Intro to the imaginary numbers (article) | Khan Academy
    The answer is simple. The imaginary unit i allows us to find solutions to many equations that do not have real number solutions. This may seem weird, but it is actually very common…
    Khan Academy
    https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex/x2ec2f6f830c9fb89:imaginary/a/intro-to-the-imaginary-numbers
    Imaginary Numbers - Math is Fun
    Imaginary numbers can help us solve some equations: Example: Solve x 2 + 1 = 0 Using Real Numbers there is no solution, but now we can solve it! Subtract 1 from both sides: x 2 = −…
    Math is Fun
    https://www.mathsisfun.com/numbers/imaginary-numbers.html
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    Solving equations using complex numbers. - Mathwarehouse.com
    By making use of the imaginary number i we can solve equations that involve the square roots of negative numbers. Complex numbers enable us to solve equations that we wouldn't be a…
    Mathwarehouse.com
    https://www.mathwarehouse.com/algebra/complex-number/complex-number-equation.php
    Intro to the imaginary numbers (video) | Khan Academy
    Say we want to find a value for x which makes this equal to i, so want cos (x) = 0 and sin (x) = 1. x = pi/2 is a value which satisfies this. So e^ (i*pi/2) = i. So now that we hav…
    Khan Academy
    https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex/x2ec2f6f830c9fb89:imaginary/v/introduction-to-i-and-imaginary-numbers
    Khan Academy
    Math is Fun
    Mathwarehouse.com
    Khan Academy
    Khan Academy
    https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex/x2ec2f6f830c9fb89:imaginary/a/intro-to-the-imaginary-numbers
    Intro to the imaginary numbers (article) | Khan Academy
    The answer is simple. The imaginary unit i allows us to find solutions to many equations that do not have real number solutions. This may seem weird, but it is actually very common…
    Math is Fun
    https://www.mathsisfun.com/numbers/imaginary-numbers.html
    Imaginary Numbers - Math is Fun
    Imaginary numbers can help us solve some equations: Example: Solve x 2 + 1 = 0 Using Real Numbers there is no solution, but now we can solve it! Subtract 1 from both sides: x 2 = −…
    Mathwarehouse.com
    https://www.mathwarehouse.com/algebra/complex-number/complex-number-equation.php
    Solving equations using complex numbers. - Mathwarehouse.com
    By making use of the imaginary number i we can solve equations that involve the square roots of negative numbers. Complex numbers enable us to solve equations that we wouldn't be a…
    Khan Academy
    https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex/x2ec2f6f830c9fb89:imaginary/v/introduction-to-i-and-imaginary-numbers
    Intro to the imaginary numbers (video) | Khan Academy
    Say we want to find a value for x which makes this equal to i, so want cos (x) = 0 and sin (x) = 1. x = pi/2 is a value which satisfies this. So e^ (i*pi/2) = i. So now that we hav…

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