x^2+kx+7.5k= 0 has no solution find satisfied value of k
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Answer :
k<0 and k<30
Explanation:
Compare x²+kx+7.5k =0 with
ax²+bx+c=0 , we get
a=1 , b=k, c = 7.5
Discreminant (D) <0
[ Given , no solution ]
b²-4ac<0
=> k²-4*k*7.5<0
=> k(k-30)<0
k <0 and k-30<0
=> k<0 and k <30
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