1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Monotonically Decreasing Functions
12 × 2-415 x+...
Question
12
x
2
-
4
15
x
+
5
=
0
Open in App
Solution
Given:
12
x
2
−
4
15
x
+
5
=
0
Here,
a
=
12
,
b
=
−
4
15
and
c
=
5
Discriminant
D
is
given
by
:
D
=
(
b
2
−
4
a
c
)
=
(
−
4
15
)
2
−
4
×
12
×
5
=
240
−
240
=
0
Thus
,
the roots of the equation are equal
.
Suggest Corrections
0
Similar questions
Q.
Find the nature of the roots of the following quadratic equations:
(i)
2
x
2
-
8
x
+
5
=
0
(ii)
3
x
2
-
2
6
x
+
2
=
0
(iii)
5
x
2
-
4
x
+
1
=
0
(iv)
5
x
x
-
2
+
6
=
0
(v)
12
x
2
-
4
15
x
+
5
=
0
(vi)
x
2
-
x
+
2
=
0
Q.
Solve for x and y:
10
x
+
y
+
2
x
-
y
=
4
15
x
+
y
-
9
x
-
y
=
-
2
Q.
Solve the following systems of equations:
10
x
+
y
+
2
x
-
y
=
4
15
x
+
y
-
9
x
-
y
=
-
2