Question

find discriminant and nature of roots 2y²-6y=3​

Answer 1

Answer:

2-3-5

Step-by-step explanation:

2+6y=3

Hard

Solution

verified

Verified by Toppr

The given quadratic equation 2y

2

+6y=3 which can be rewritten as 2y

2

+6y−3=0 is in the form ax

2

+bx+c=0 where a=2,b=6 and c=−3.

We know that the quadratic formula is x=

2a

−b±

b

2

−4ac

, therefore, substitute a=2,b=6 and c=−3 in x=

2a

−b±

b

2

−4ac

as follows:

x=

2a

−b±

b

2

−4ac

=

2×2

−6±

6

2

−(4×2×−3)

=

4

−6±

36+24

=

4

−6±

60

=

4

−6±

4×15

=

4

−6±2

15

=

4

2(−3±

15

)

=

2

−3±

15

Hence, x=

2

−3+

15

or x=

2

−3−

15