Suppose 10

Suppose 4+7i is a solution of 5z2+Az+B=0, where A, B∈R. Find A and B.

Correct answer:

A =  -40
B =  325

Step-by-step explanation:

5z2+A z+B=0 z1 = 4+7i 5(4+7i)2+A (4+7i)+B=0 (165+280i)+4A+7Ai+B=0  165+4 A+B=0 280+7 A=0  4A+B=165 7A=280  Pivot:Row1Row2 7A=280 4A+B=165  Row274 Row1Row2 7A=280 B=325  B=1325=325 A=7280=40  A=40 B=325

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