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11. What is the solution of the equation x2 + 8x = 4?*=-4+ 215x=-4 1415x=-40215*--45v2

11. What is the solution of the equation x2 + 8x = 4?*=-4+ 215x=-4 1415x=-40215*--45v-example-1
User Isaactfa
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1 Answer

5 votes

The equation given,


x^2+8x=4

Rearranging,


x^2+8x-4=0

Comparing to general form of a quadratic, we have:


\begin{gathered} a=1 \\ b=8 \\ c=-4 \end{gathered}

Using the quadratic formula, we can find x.


\begin{gathered} x=\frac{-b\pm\sqrt[\square]{b^2-4ac}}{2a} \\ x=\frac{-8\pm\sqrt[\square]{(8)^2-4(1)(-4)}}{2(1)} \\ x=\frac{-8\pm\sqrt[\square]{80}}{2} \\ x=\frac{-8\pm4\sqrt[]{5}}{2} \\ x=-4\pm2\sqrt[\square]{5} \end{gathered}

Answer

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User Vincent Gigandet
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