Find value of k for which (k+4)x^2+(k+1)x+1=0has equal roots
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Answer:
D=0
b²-4ac=0
a=(k+4)
b=(k+1)
c=1
(k+1)²-4×(k+4)×1=0
k²+1+2k-4k-16=0
k²-2k-15=0
k²-5k+3k-15=0
k(k-5)+3(k-5)=0
(k-5)(k+3)=0
k=5 or -3
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