Question 463157


{{{7x^2-9x+6=0}}}..use quadratic formula

{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}...note that {{{a=7}}}, {{{b=-9}}} and {{{c=6}}}

{{{x = (-(-9) +- sqrt( (-9)^2-4*7*6 ))/(2*7) }}}


{{{x = (9 +- sqrt(81-168))/14 }}}

{{{x = (9 +- sqrt(-87))/14 }}}

{{{x = (9 +- sqrt((-1)87))/14 }}}

{{{x = (9 +- 9.3i)/14 }}}

solutions:

{{{x = (9 + 9.3i)/14 }}}

{{{x = 9/14 + 9.3i/14 }}}

{{{x = 0.6 + 0.7i }}}


or

{{{x = (9 - 9.3i)/14 }}}

{{{x = 9/14 - 9.3i/14 }}}

{{{x = 0.6 - 0.7i }}}.........so, no real solutions


{{{ graph( 500, 500, -10, 10, -10, 10, 7x^2-9x+6) }}}