chaseashley24
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  • 19-10-2018
  • Mathematics
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Use the quadratic formula to solve the equation

Use the quadratic formula to solve the equation class=

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jdoe0001 jdoe0001
  • 19-10-2018

[tex]\bf ~~~~~~~~~~~~\textit{quadratic formula}\\\\\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{-7}x\stackrel{\stackrel{c}{\downarrow }}{-6}=0\qquad \qquadx= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}\\\\\\x=\cfrac{ - (-7) \pm \sqrt { (-7)^2 -4(1)(-6)}}{2(1)}\implies x=\cfrac{7\pm\sqrt{49+24}}{2}\\\\\\x=\cfrac{7\pm\sqrt{73}}{2}\implies x=\begin{cases}\cfrac{7+\sqrt{73}}{2}\\[1.8em]\cfrac{7-\sqrt{73}}{2}\end{cases}[/tex]

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