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 \( -5-2 i \)

Answer

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Answer

\( y = -5 \pm 2\hat{i} \)

Steps

Step 1 ：\( y = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a} \)

Step 2 ：\( y = \frac{-10 \pm \sqrt{-24}}{2} \)

Step 3 ：\( y = -5 \pm 2\hat{i} \)

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