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Byju's Answer
Standard XII
Mathematics
Quadratic Formula for Finding Roots
compare equat...
Question
c
o
m
p
a
r
e
e
q
u
a
t
i
o
n
s
x
2
+
2
√
3
x
+
3
=
0
a
n
d
a
x
2
+
b
x
+
c
=
0
f
i
n
d
t
h
e
v
a
l
u
e
s
o
f
a
,
b
,
c
→
F
i
n
d
v
a
l
u
e
o
f
b
2
−
4
a
c
→
W
r
i
t
e
f
o
r
m
u
l
a
t
o
s
o
l
v
e
q
u
a
d
r
a
t
i
c
e
q
u
a
t
i
o
n
→
S
u
b
s
t
i
t
u
t
e
v
a
l
u
e
s
o
f
a
,
b
,
c
a
n
d
f
i
n
d
r
o
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s
Solve it.
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Solution
Given,
x
2
+
2
√
3
x
+
3
=
0
a
=
1
,
b
=
2
√
3
,
c
=
3
b
2
−
4
a
c
=
(
2
√
3
)
2
−
4
(
1
)
(
3
)
=
12
−
12
=
0
x
=
−
b
±
√
b
2
−
4
a
c
2
a
=
−
2
√
3
±
0
2
x
=
−
√
3
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Similar questions
Q.
If the roots of
a
x
2
+
b
x
+
c
=
0
are
α
,
β
and the roots of
A
X
2
+
B
x
+
C
=
0
are
(
α
−
k
)
,
(
β
−
k
)
.
Then
(
B
2
−
4
A
C
b
2
−
4
a
c
)
is equal to
Q.
The roots of a quadratic equation
a
x
2
+
b
x
+
c
=
0
are given by
−
b
±
√
b
2
−
4
a
c
2
a
, provided
b
2
–
4
a
c
≥
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.
Q.
If
b
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4
a
c
>
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, then the graph of
y
=
a
x
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+
b
x
+
c
Q.
If
b
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−
4
a
c
=
0
then the graph of
y
=
a
x
2
+
b
x
+
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Q.
What is the nature of the roots of the quadratic equation
a
x
2
+
b
x
+
c
=
0
if
(a)
b
2
−
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a
c
=
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(b)
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a
c
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