Question

Find the value (s) of k, if the quadratic equation 3x square - k root 3x+4=0 has equal roots

Answer 1

given the quadratic equation has equal roots
so,
b^2-4ac=0
=(-k root 3)^2-4×3×4=0
=3k^2-48=0
=k^2=48/3
=k^2=16
=k=4

Answer 2

Hi ,

compare 3x² - k √3 x + 4 = 0 with

ax² + bx + c = 0 ,

a = 3 , b = - √3 k , c = 4 ,

according to the problem given ,

roots are equal .

discreaminant = 0

b² - 4ac = 0

( √3 k )² - 4 × 3 × 4 = 0

3k² = 48

k² = 48/3

k² = 16

k = ±√16

k = ± 4

I hope this helps you.

:)