Question 909120
equation:
{{{x^2+3x+4-m}}}

to have exactly one real solution, the discriminant must be equal to zero
{{{d= b^2-4ac}}}

{{{0=(3)^2-(4)(1)(4-m)}}}
{{{0= 9-16-4m}}}
{{{7=-4m}}}
{{{-7/4=m}}}