Question

X^2 -(m+2)x +(m+5) = 0 , find m

Answer 1

for real solution

b^2-4ac >0

(m+2)^2-4×1×(m+5)>0

m^2+4+4m-4m-20>0

m^2-16>0

m>+/-4

since m should be greater than -4 and +4 so

m={5,6,7,.....} this verify both condition ans