2+3i is a solution of a quadratic equation with real coefficients. Find the othe

Question

2+3i is a solution of a quadratic equation with real coefficients. Find the other solution. In Problems 83-86, Z=3-4i and w = 8 +3i. Write each expression 83. z +Z 84 w- w 87. Electrical circuits The impedance Z, in ohms of a circuit element is defined as the ratio of the phasor voltage V, in volts, across the element to the phasor current I, in amperes, through the elements. That is, Z= V/I, If the voltage across a circuit element is 18 + i volts. and the current through the element is 3-4i amperes, determine the impedance.

Explanation / Answer

81) Since the complex roots always occur in pairs,(it means, if a+bi is a solution then a-bi is also a solution.

Given that 2+3i is a solution. So the other solution is it's additive inverse which is 2-3i.

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