Question

Find the value of K if the quadratic equation 3xsquare-k√3x+4=0 has equal roots

Answer 1

Answer:

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 = √ 4 × 4

k = 4 or k = -4