Find the value of a growniche le fa...
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Find the value of a growniche le faleving equation has egun Find the values of k for which the following equation has equal roots : (k-12) x2 + 2 (k-12) x + 2 = 0

JEE/Engineering Exams
Maths
Solution
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( (k-2) n^{2}+2(k-12) x+2=0 ) canation has equyl roof iff ( b^{2}-4 a c=0 ) ( 2^{2}(k-2)^{2}-4(k-2) times 2=0 ) ( (k-2)[4[k-2]-8]=0 ) ( k=2 quad 0 gamma quad 4 k-8-8=0 ) ( 4 k=16 ) [ k=4 ] for ( k=2 ) or 4 the equation has real 7005
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