Question 688622
{{{5x^2 + 2 = 9x }}}


{{{5x^2 + 2 - 9x = 0 }}}


{{{5x^2 - 9x + 2 = 0 }}}


Use the quadratic formula to solve for x


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


{{{x = (-(-9)+-sqrt((-9)^2-4(5)(2)))/(2(5))}}} Plug in {{{a = 5}}}, {{{b = -9}}}, {{{c = 2}}}


{{{x = (9+-sqrt(81-(40)))/(10)}}}


{{{x = (9+-sqrt(41))/10}}}


<font color="red">Exact Solutions:</font>{{{x = (9+sqrt(41))/10}}} or {{{x = (9-sqrt(41))/10}}}


<font color="blue">Approximate Solutions:</font>{{{x = 1.540312}}} or {{{x = 0.259688}}}