SOLUTION: For what value of m does the equation (x +4)(x+1)=m+2x have exactly one real solution? Express your answer as a common fraction. Thank you!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: For what value of m does the equation (x +4)(x+1)=m+2x have exactly one real solution? Express your answer as a common fraction. Thank you!       Log On


   

Question 909120: For what value of m does the equation (x
+4)(x+1)=m+2x have exactly one real solution? Express your answer as a common fraction. Thank you!
Answer by clearblueskai(22) About Me  (Show Source):
You can put this solution on YOUR website!
equation:
x%5E2%2B3x%2B4-m
to have exactly one real solution, the discriminant must be equal to zero
d=+b%5E2-4ac
0=%283%29%5E2-%284%29%281%29%284-m%29
0=+9-16-4m
7=-4m
-7%2F4=m