[tex]Solution, solve\:for\:x,\:-x^2+8x+5=0\quad :\quad x=-\sqrt{21}+4,\:x=4+\sqrt{21}[/tex]
[tex]Steps:[/tex]
[tex]-x^2+8x+5=0[/tex]
[tex]\mathrm{Solve\:with\:the\:quadratic\:formula},\\\mathrm{Quadratic\:Equation\:Formula:} \mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}, x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a},\\\mathrm{For\:}\quad a=-1,\:b=8,\:c=5:\quad x_{1,\:2}=\frac{-8\pm \sqrt{8^2-4\left(-1\right)5}}{2\left(-1\right)},x=\frac{-8+\sqrt{8^2-4\left(-1\right)5}}{2\left(-1\right)}:\quad -\sqrt{21}+4,\\x=\frac{-8-\sqrt{8^2-4\left(-1\right)5}}{2\left(-1\right)}:\quad 4+\sqrt{21}[/tex]
[tex]\mathrm{The\:final\:solutions\:to\:the\:quadratic\:equation\:are:} x=-\sqrt{21}+4,\:x=4+\sqrt{21}[/tex]
[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]
[tex]\mathrm{-Austint1414}[/tex]
