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Byju's Answer
Standard XII
Mathematics
Manipulation of a linear equation
Question numb...
Question
Question number 5
5. Solve the following quadratic equation by using the quadratic formula :
x
2
+ 6 = 8x
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Solution
The
given
quadratic
equation
is
,
x
2
+
6
=
8
x
⇒
x
2
-
8
x
+
6
=
0
Comparing
the
above
equation
with
ax
2
+
bx
+
c
=
0
,
we
get
a
=
1
;
b
=
-
8
;
c
=
6
Now
,
D
=
b
2
-
4
ac
=
-
8
2
-
4
1
6
=
64
-
24
=
40
>
0
Now
,
the
roots
are
given
by
x
=
-
b
+
D
2
a
and
x
=
-
b
-
D
2
a
⇒
x
=
8
+
40
2
×
1
and
x
=
8
-
40
2
×
1
⇒
x
=
8
+
2
10
2
and
x
=
8
-
2
10
2
⇒
x
=
4
+
10
and
x
=
4
-
10
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