Problem
10 Solve the quadratic equation \( y^{2}+10 y+29=0 \). A \( 5+6 \sqrt{6} \) or \( 5-6 \sqrt{6} \) B \( -5+6 \sqrt{6} \) or \( -5-6 \sqrt{6} \) C \( 5+2 \hat{i} \) or \( 5-2 \hat{i} \) D) \( -5+21 \) or \( -5-2 i \)
Solution
Step 1 ：\( y = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a} \)
Step 2 ：\( y = \frac{-10 \pm \sqrt{-24}}{2} \)
Step 3 ：\( y = -5 \pm 2\hat{i} \)
