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Each solution to x^2 + 5x + 8 = 3x + 2 can be written in the form x = a + bi, where a and b are real numbers. What is a + b^2?

Aug 23, 2021

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x^2 +2x +6 = 0      in simplified form

Use quadratic formula with   a =1     b = 2     c = 6

$$x = {-2 \pm \sqrt{2^2-4(1)(6)} \over 2(1)}$$      Calulate away to find a and b          then you can finish ....

Aug 23, 2021