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The values of x such that 2x^2 - 6x + 7 = 0 are m+ni and m-ni, where m and n are positive. What is m*n?

 Jan 1, 2022
 #1
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Using the quadratic formula with  a = 2,  b = -6,  and  c = 7:

x  =  3/2  +  sqrt(5)/2i     or     x  =  3/2  -  sqrt(5)/2i 

 

m  =  3/2     n  =  sqrt(5)/2

 

Multiply these together to get your answer.

 Jan 1, 2022

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