Question

Find the values of m for which the following equations have equal roots? X^2+(m+3)X+(m+6) =0

Answer 1

Step-by-step explanation:

roots are equal it's given

so, D=0

b²-4ac=0

(m+3)²-4×1×(m+6)=0

m²+6m+9-4m-24=0

m²+2m-15=0

m²+5m-3m-15=0

m(m+5)-3(m+5)=0

(m-3)(m+5)=0

m-3=0 & m+5=0

m= 3 & -5