Question 496843

{{{m^2-7m-20=0}}}...solve for {{{m}}} using quadratic formula

{{{m = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} ...note that {{{a=1}}}, {{{b=-7}}}, and {{{c=-20}}}



{{{m = (-(-7) +- sqrt( (-7)^2-4*1*(-20) ))/(2*1) }}}



{{{m = (7 +- sqrt(49+80 ))/2 }}}


{{{m = (7 +- sqrt(129))/2 }}}


{{{m = (7 +- 11.36)/2 }}}

solutions:

{{{m = (7 + 11.36)/2 }}}

{{{m = (18.36)/2 }}}

{{{highlight(m = 9.18)}}}

or

{{{m = (7 - 11.36)/2 }}}

{{{m = (-4.36)/2 }}}

{{{highlight(m = -2.18)}}}