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Each solution to x^2 + 5x + 18 = 0 can be written in the form a + bi where a and b are real numbers. What is a^2 + b^2?

 Feb 15, 2022
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What is a^2 + b^2?

 

Hello Guest!

 

\(x^2 + 5x + 18 = 0 \\ x=-\frac{5}{2}\pm \frac{\sqrt{47}}{2}\cdot i\)

          a          b

\(a^2+b^2=\frac{25}{4}+\frac{47}{4}\)

\(a^2+b^2=6.25+11.75\)

laugh  !

 Feb 15, 2022
edited by asinus  Feb 15, 2022

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