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# Complex Roots

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The values of x such that

2x^2 - 6x + 5 = -4

are m + ni and m - ni, where m and n are positive.  What is mn?

Oct 11, 2021

#1
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What is mn?

Hello Guest!

$$2x^2 - 6x + 5 = -4\\ x^2-3x+4.5=0\\ x=1.5\pm \sqrt{2.25-4.5}\\ x=1.5\pm \sqrt{-2.25}\\ x=1.5\pm 1.5i$$

$$m=1.5,\ n=1.5\\ \color{blue}mn=2.25$$

!

Oct 11, 2021
edited by asinus  Oct 12, 2021