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Use the quadratic formula to find the complex solution to the equation 10x^2 - x + 9 = 0.
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Use the quadratic formula to find the complex solution to the equation 10x^2 - x + 9 = 0.

Use the quadratic formula to find the complex solution to the equation 10x^2 - x + 9 = 0.-example-1
User EdanB
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1 Answer

17 votes
17 votes

We have the following:


10x^2-x+9=0

solving:


\begin{gathered} 10x^2-x+9=0 \\ 10x^2-x+9-9=-9 \\ 10x^2-x=-9 \\ (10)/(10)x^2-(x)/(10)=-(9)/(10) \\ x^2-(x)/(10)+(-(1)/(20))^2=-(9)/(10)+(-(1)/(20))^2 \\ (x-(1)/(20))^2=-(359)/(400)\rightarrow(x-(1)/(20))=\sqrt[]{-(359)/(400)} \\ x=(1)/(20)+i(√(359))/(20) \\ x=(1)/(20)-i(√(359))/(20) \end{gathered}

The answer is the last option

User Lisette
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