Question

The equation 4x²+3x+5=0 has no real roots, it is :true or false​

Answer 1

Step-by-step explanation:

10th

Maths

Quadratic Equations

Solutions of Quadratic Equations

Find the roots of 4x2 + 3x ...

MATHS

Find the roots of 4x

2

+3x+5=0 by the method of completing the square.

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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.

Answered By

Answer 2

True

you can find it out by checking whether the discriminant is less than zero or not

D = b^2 - 4ac