Question 775259

Use the quadratic formula to solve for x


{{{x = (-b+-sqrt(b^2-4ac))/(2a)}}}


{{{x = (-(-24)+-sqrt((-24)^2-4(16)(7)))/(2(16))}}} Plug in {{{a = 16}}}, {{{b = -24}}}, {{{c = 7}}}


{{{x = (24+-sqrt(576-(448)))/(32)}}}


{{{x = (24+-sqrt(128))/32}}}


{{{x = (24+sqrt(128))/32}}} or {{{x = (24-sqrt(128))/32}}}


{{{x = (24+8*sqrt(2))/32}}} or {{{x = (24-8*sqrt(2))/32}}}


{{{x = (3+sqrt(2))/4}}} or {{{x = (3-sqrt(2))/4}}}



The exact solutions are {{{x = (3+sqrt(2))/4}}} or {{{x = (3-sqrt(2))/4}}}