Question

Find the value of k,if the quadratic equation, 3x+k√3x+4=0has equal roots
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Answer 1

compare given quadratic equation 3x² +k√3 x + 4 =0

with ax² + bx + c = 0 ,

a = 3 , b = k√3 , c = 4

according to the problem given ,

roots are equal .

b² = 4ac

( k√3 )² = 4 × 3 × 4

k² × 3 = 4 ×3 × 4

k² = 4 × 4

k = √16

k = 4 or k = -4