Find the quotient of these complex numbers (5-7i)/(2-5i)
1 answer:
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We have to solve this equation:
Third degree polynomials like this one are not easily solved, but this one has a root at x = 0. The let us factorize this polynomial as x times a second degree polynomial:
Now we can find the roots of the quadratic polynomial as:
Then, the solutions to the equation are:
x = 0
x = 3 - √3
x = 3 + √3
