2xsquare+5x+3+=0 pls help me im from std 10th
Answers
Answer:
Please mark it as brainlest answer.
Step-by-step explanation:
Hope it helps you.
Answer:
x
=
1
2
or
x
=
−
3
Explanation:
We will use the difference of squares identity, which can be written:
a
2
−
b
2
=
(
a
−
b
)
(
a
+
b
)
First, to reduce the amount of arithmetic involving fractions, first multiply through by
2
3
=
8
to get:
0
=
16
x
2
+
40
x
−
24
=
(
4
x
)
2
+
2
(
5
)
(
4
x
)
−
24
=
(
4
x
+
5
)
2
−
25
−
24
=
(
4
x
+
5
)
2
−
7
2
=
(
(
4
x
+
5
)
−
7
)
(
(
4
x
+
5
)
+
7
)
=
(
4
x
−
2
)
(
4
x
+
12
)
=
(
2
(
2
x
−
1
)
)
(
4
(
x
+
3
)
)
=
8
(
2
x
−
1
)
(
x
+
3
)
Hence:
x
=
1
2
or
x
=
−
3
Why did I premultiply by
8
?
One factor of
2
makes the leading term into a perfect square, then the additional factor
2
2
=
4
compensates for the middle term being an odd number.
Otherwise, we might proceed as follows:
0
=
2
x
2
+
5
x
−
3
=
2
(
x
2
+
5
2
x
−
3
2
)
=
2
(
(
x
+
5
4
)
2
−
25
16
−
3
2
)
=
2
(
(
x
+
5
4
)
2
−
49
16
)
=
2
(
(
x
+
5
4
)
2
−
7
2
4
2
)
=
2
(
(
x
+
5
4
)
−
7
4
)
(
(
x
+
5
4
)
+
7
4
)
=
2
(
x
−
2
4
)
(
x
+
12
4
)
=
2
(
x
−
1
2
)
(
x
+
3
)
Hence:
x
=
1
2
or
x
=
−
3