find k for which equation has equal roots 4x^2+x+kx^2+kx+1
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4x^2+kx^2+x+kx+1=0
x^2(4+k)+x(k+1)+1=0
b^2-4ac=0
a=4+k,b=k+1,c=1
k^2+2k+1-4(4+k)=0
k^2+2k+1-16-4k=0
k^2-2k-15=0
a=1,b=-2,c=-15
k=-b+-√b^2-4ac/2a
k=2+√4+60/2
k=2+8/2
k=10/2
k=5
or
k=2-√4+60/2
k=2-8/2
k=-6/2
k=-3
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