Question

5) Find the value of k if the roots of the
quadratic equation 3x2- kx +48=0 are
real and equal​

Answer 1

$compare \: given \: quadratic \: equation \: 3x² - k√3 x + 4 =0$

$with \: \: ax² + bx + c = 0 ,$

$a = 3 , b = - k√3 , c = 4$

$according \: \: to \: the \: problem \: \: given ,$

$roots \: \: are \: \: equal .$

$b² = 4ac$

$( - k√3 )² = 4 × 3 × 4$

$k² × 3 = 4 ×3 × 4$

$k² = 4 × 4$

$k = √ 4 × 4$

$k = 4 or k = -4$

Answer 2

Step-by-step explanation:

b2=4ac

(-k2x3=4×3×4

ke=√4×4

k=2ork=-4