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Algebra

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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

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

$$a^2+b^2=6.25+11.75$$

!

Feb 15, 2022
edited by asinus  Feb 15, 2022