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# help with 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?

Jul 14, 2021

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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?

Hello Guest!

$$x^2 + 5x + 18 = 0\\ x=-2.5\pm \sqrt{6.25-18}\\ a+bi=-2.5\pm \sqrt{11.75}\cdot i$$

$$a^2+b^2=6,25-11.75$$

$$a^2+b^2=-5.5$$

!

Jul 15, 2021