(Q7)Find the nature of the roots of the following quadratic equations. If real roots exist, find them
(ii)3x
2
-4 √3x + 4 = 0
Answer
Given 3x
2
- 4√3x + 4 = 0
a = 3; b = - 4√3; c = 4
b
2
- 4ac
= (- 4√3)
2
- 4(
)(
)
= 48 -
= 0
∴ Roots are real and equal they
-b
2a
,
-b
2a
=
-(-4√3)
×3
=
4√3
=
2
√
,
2
√
.
clear