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Questions: Algebra BusinessCalculus
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Solve \(\displaystyle x^{2} + 30 x + 325 = 0 \)
Using the quadratic formula gives \(\displaystyle x=\frac{ -(30)\pm \sqrt{ (30)^2 -4(1)(325) } }{ 2(1) }\)
Simplifying gives \(\displaystyle x=\frac{ -30 \pm \sqrt{ -400 } }{ 2 } = -15 \pm 10 i\)
\begin{question}Solve $ x^{2} + 30 x + 325 = 0 $
\soln{9cm}{Using the quadratic formula gives $x=\frac{ -(30)\pm \sqrt{ (30)^2 -4(1)(325) } }{ 2(1) }$\newline Simplifying gives $ x=\frac{ -30 \pm \sqrt{ -400 } }{ 2 } = -15 \pm 10 i$}
\end{question}
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\begin{document}\begin{question}(10pts) The question goes here!
\soln{9cm}{The solution goes here.}
\end{question}\end{document}<p> <p>Solve <img class="equation_image" title=" \displaystyle x^{2} + 30 x + 325 = 0 " src="/equation_images/%20%5Cdisplaystyle%20%20x%5E%7B2%7D%20%2B%2030%20x%20%2B%20325%20%3D%200%20%20" alt="LaTeX: \displaystyle x^{2} + 30 x + 325 = 0 " data-equation-content=" \displaystyle x^{2} + 30 x + 325 = 0 " /> </p> </p><p> <p>Using the quadratic formula gives <img class="equation_image" title=" \displaystyle x=\frac{ -(30)\pm \sqrt{ (30)^2 -4(1)(325) } }{ 2(1) } " src="/equation_images/%20%5Cdisplaystyle%20x%3D%5Cfrac%7B%20-%2830%29%5Cpm%20%5Csqrt%7B%20%2830%29%5E2%20-4%281%29%28325%29%20%7D%20%7D%7B%202%281%29%20%20%7D%20" alt="LaTeX: \displaystyle x=\frac{ -(30)\pm \sqrt{ (30)^2 -4(1)(325) } }{ 2(1) } " data-equation-content=" \displaystyle x=\frac{ -(30)\pm \sqrt{ (30)^2 -4(1)(325) } }{ 2(1) } " /> <br> Simplifying gives <img class="equation_image" title=" \displaystyle x=\frac{ -30 \pm \sqrt{ -400 } }{ 2 } = -15 \pm 10 i " src="/equation_images/%20%5Cdisplaystyle%20%20x%3D%5Cfrac%7B%20-30%20%5Cpm%20%5Csqrt%7B%20-400%20%7D%20%7D%7B%202%20%7D%20%3D%20-15%20%5Cpm%2010%20i%20" alt="LaTeX: \displaystyle x=\frac{ -30 \pm \sqrt{ -400 } }{ 2 } = -15 \pm 10 i " data-equation-content=" \displaystyle x=\frac{ -30 \pm \sqrt{ -400 } }{ 2 } = -15 \pm 10 i " /> </p> </p>