Question

State whether 4x² + 3x + 5 has a root or not? ​

Answer 1

Answer:

No,

4x²+3x+5 has not a root

Step-by-step explanation:

Hope It Helps You

Answer 2

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.