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D=0
b2-4ac=0
(8k)2-4 (9)(16)=0
64k2-576=0
k2=576/64
k2=9
k=+-3
Either k=3 or k=-3
b2-4ac=0
(8k)2-4 (9)(16)=0
64k2-576=0
k2=576/64
k2=9
k=+-3
Either k=3 or k=-3
Answered by
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Answer:
Step-by-step explanation:
For the equation to have equal roots ,
The value of determinant should be zero.
i.e. D=b²-4ac=0———(1)
Where in this case,
b=8k
a=9 , and
c=16
Substituting the above values in (1)
=>64k²-4*9*16=0
=>64k²-576=0
=>64k²=576
=>k²=576/64
=>k²=9
=>k=+3 or -3
Hence , for the equation nto have equal roots the value of k is either +3 or -3
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