Math, asked by prashastisaxena06, 3 months ago

Find the roots of equation 4x2+3x+5=0 (if exists) using the quadratic formula.
Plz answer fast​

Answers

Answered by amishagoswami273
0

Answer:

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.

Step-by-step explanation:

Note that 4x2 + 3x + 5 = 0 is the same as But (2x+3/4)2 cannot be negative for any real value of x (Why?). So, there is no real value of x satisfying the given equation. Therefore, the given equation has no real roots.Read more on Sarthaks.com - https://www.sarthaks.com/251960/find-the-roots-of-4x-2-3x-5-0-by-the-method-of-completing-the-square

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