Find the roots of the given Quadratic equation by factorization:-
X2 + X – 6 = 0
Answers
Answered by
5
Answer:
Explanation:
In a quadratic equation
a
x
2
+
b
x
+
c
=
0
, to solve one splits the middle term in two parts so that their sum is
b
and product is
a
c
.
Hence, in
x
2
+
x
−
6
=
0
one needs to split
1
×
(
−
6
)
=
−
6
in two parts whose sum is
1
. It is apparent that these are
3
and
−
2
, hence
x
2
+
x
−
6
=
0
can be written as
x
2
+
3
x
−
2
x
−
6
=
0
or
x
(
x
+
3
)
−
2
(
x
+
3
)
=
0
or
(
x
−
2
)
(
x
+
3
)
=
0
i.e. either
x
−
2
=
0
i.e.
x
=
2
or
x
+
3
=
0
i.e.
x
=
−
3
Answered by
0
Answer:
Step-by-step explanation:
X^2 +X-6=0 Sum=1 Product= -6
X^2+3X-2X-6=0
(X^2+3X)-(2X+6)=0
X(X+3)-2(X+3)=0
(X+3)(X-2)=0
X=-3,2
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