Mathematics, 12.02.2021 22:30 ligittiger12806

$Find the square roots of 119 + 120i \\\\Let w=p + qi be the square root of 119 + 120i and \left(p+qi\right)^{2\ }=119\ +\ 120i\\\\Expand the left side of this equation.\\\\\\Equate the real parts (with each other) and then equate the imaginary parts (with each other).\\\\Solve for q.\\q=?\\\\Substitute.\\\\Multiply the whole equation by p^{2} and set equal to zero.\\\\Solve by factoring.\\\\The solutions are:\\\\we can choose 12 or -12 for p.Using the equation 2pq=120, find the two values for q$ what are the two square roots of 119+120i

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