State whether 4x² + 3x + 5 has a root or not?
Answers
Answered by
4
Answer:
No,
4x²+3x+5 has not a root
Step-by-step explanation:
Hope It Helps You
Answered by
5
Step-by-step explanation:
Given equation
4x
2
+3x+5=0
Dividing by 4
4
4x
2
+
4
3x
+
4
5
=0
x
2
+
4
3x
+
4
5
=0
We know that
(a+b)
2
=a
2
+2ab+b
2
Here a=x
2ab=
4
3x
2b=
4
3
b=
8
3
Adding and subtracting (
8
3
)
2
x
2
+
4
3x
+
4
5
+(
8
3
)
2
−(
8
3
)
2
=0
(x+
8
3
)
2
+
4
5
−(
8
3
)
2
=0
(x+
8
3
)
2
=
64
9
−
4
5
(x+
8
3
)
2
=
64
9−80
(x+
8
3
)
2
=
64
−71
Since square of any number cannot be negative
So, answer does not exist.
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