Question

12. The roots of the equation 3x2 - 7x + 4 = 0 are
(a) rationals
(b) irrationals
(d) negative intepers
(c) positive intepers​

Answer 1

${3x}^{2} - 7x + 4 = 0 \\ \\ comparing \: it \: with \: the \: general \: equation \: - \\ {ax}^{2} + bx + c \\ \\ a = 3 \: \: \\ b = - 7 \\ c = 4 \\ \\ find \: the \: discriminant \: now - > \\ \\ d = {b}^{2} - 4ac \\ d = {( - 7)}^{2} -( 4 \times 3 \times 4) \\ d = 49 - 48 \\ d = 1 \\ \sqrt{d} = 1 \\ \\ since \: \sqrt{d} > 0 \\ therefore \: roots \: exists \: and \: they \: are \: rational$

Answer 2

Answer:

this is a rational

(a) rational