Question

If the equation 4 x^2 - 3 k + 1 =0 has equal roots then k =

Answer 1

CORRECT QUESTION

if the equation 4x^2 - 3kx + 1 = 0 has equal

roots then find the value of k

EXPLANATION

GIVEN

Equation = 4x^2 - 3kx + 1 = 0

has equal roots

TO FIND VALUE OF K

FOR EQUAL ROOTS

$d \: = {b}^{2} - 4ac = 0$

(-3k) ^2 - 4(4) (1) = 0

9k^2 - 16 = 0

9k^2 = 16

k^2 = 16/9

k = 4/3 = ANSWER

SOME RELATED FORMULA

$1) \: \: if \: d > 0 \: \: = roots \: \: are \: \: real \: \: and \: unequal \:$

$2) \: if \: d = 0 \: \: roots \: \: are \: \: real \: \: and \: \: equal \:$

$3) \: if \: \: d \: < 0 \: = \: \: roots \: \: are \: \: imaginary$