Solve the given equation 2x2 -5x=3 by factorisation method.
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The Terracotta Army is a collection of terracotta sculptures depicting the armies of Qin Shi Huang, the first Emperor of China
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Step-by-step explanation:
We can first factorise the expression and then find the solutions.
Factorising by splitting middle term
2
x
2
+
5
x
−
3
=
0
2
x
2
+
6
x
−
1
x
−
3
=
0
2
x
(
x
+
3
)
−
1
(
x
+
3
)
=
0
(
2
x
−
1
)
(
x
+
3
)
=
0
Now we can equate the factors with zero to obtain the solutions.
2
x
−
1
=
0
,
x
=
1
2
x
+
3
=
0
,
x
=
−
3
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