Question 704748
{{{ 5x^2-7x+p=0 }}} has real and distinct roots if the discriminant {{{ DELTA = b^2-4ac > 0 }}}, so:


{{{ (-7)^2-4(5)(p) > 0 }}} 
{{{ 49-20p > 0 }}} 
{{{ 49>20p }}} 
{{{ 20p<49 }}} 
{{{ p<49/20 }}} 
{{{ p<2.45 }}}